Pith Number

pith:EGZJ7Q45

pith:2016:EGZJ7Q4532KZN435SHPD7UFG55

not attested not anchored not stored refs pending

Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds

Alan Thompson, Andrew Harder, Charles F. Doran

arxiv:1601.08110 v3 · 2016-01-29 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGZJ7Q4532KZN435SHPD7UFG55}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

2 papers in Pith

Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces

Fano and Reflexive Polytopes from Feynman Integrals

Receipt and verification

First computed	2026-05-17T23:53:03.131281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b29fc39dde9596f37d91de3fd0a6ef6bab700a0f29d29fd770dbb0c8e4fef2

Aliases

arxiv: 1601.08110 · arxiv_version: 1601.08110v3 · doi: 10.48550/arxiv.1601.08110 · pith_short_12: EGZJ7Q4532KZ · pith_short_16: EGZJ7Q4532KZN435 · pith_short_8: EGZJ7Q45

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/EGZJ7Q4532KZN435SHPD7UFG55 \
  | 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: 21b29fc39dde9596f37d91de3fd0a6ef6bab700a0f29d29fd770dbb0c8e4fef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e406aa5df021ae1660be44b7d33b03af42b1d09ea77a8abe133ebb32b3bf71b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-29T14:01:35Z",
    "title_canon_sha256": "bddb2c8c2a68dc97c32a4c6b82eab2001ec878ba1b21488235a319e996c7c4b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08110",
    "kind": "arxiv",
    "version": 3
  }
}