Pith Number

pith:PYVRNS2P

pith:2005:PYVRNS2PBKY2CQH5UZJTYJ4JMB

not attested not anchored not stored refs pending

Mirror Symmetry and Integral Variations of Hodge Structure Underlying One Parameter Families of Calabi-Yau Threefolds

Charles F. Doran, John W. Morgan

arxiv:math/0505272 v1 · 2005-05-12 · math.AG · hep-th · math.KT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYVRNS2PBKY2CQH5UZJTYJ4JMB}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Bordisms between 9d type IIB supergravities and commutator widths of duality groups

Large Order Enumerative Geometry, Black Holes and Black Rings

Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

Large Order Enumerative Geometry, Black Holes and Black Rings

Bordisms between 9d type IIB supergravities and commutator widths of duality groups

Receipt and verification

First computed	2026-07-04T14:39:58.829305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e2b16cb4f0ab1a140fda6533c2789606f144f11429984621043a05743ba097e

Aliases

arxiv: math/0505272 · arxiv_version: math/0505272v1 · doi: 10.48550/arxiv.math/0505272 · pith_short_12: PYVRNS2PBKY2 · pith_short_16: PYVRNS2PBKY2CQH5 · pith_short_8: PYVRNS2P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PYVRNS2PBKY2CQH5UZJTYJ4JMB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e2b16cb4f0ab1a140fda6533c2789606f144f11429984621043a05743ba097e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fb81646c2277748f08766ac2fb55f5ec9b6d36f886f12d2518ccc10824cb3f",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-05-12T18:22:14Z",
    "title_canon_sha256": "bbbf83247c4fc904d15b8b7871de8ad8248bb120397bb81ffaf6df97767fc3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505272",
    "kind": "arxiv",
    "version": 1
  }
}