Pith Number

pith:D2MMUPRN

pith:2011:D2MMUPRNMGDF6JWJTSTB2UUWQU

not attested not anchored not stored refs pending

Calabi-Yau manifolds and their degenerations

Valentino Tosatti

arxiv:1109.0579 v2 · 2011-09-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2MMUPRNMGDF6JWJTSTB2UUWQU}

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.

Receipt and verification

First computed	2026-05-18T03:46:03.829725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e98ca3e2d61865f26c99ca61d5296853c2d86a45cd3008d4b84df7b57a251db

Aliases

arxiv: 1109.0579 · arxiv_version: 1109.0579v2 · doi: 10.48550/arxiv.1109.0579 · pith_short_12: D2MMUPRNMGDF · pith_short_16: D2MMUPRNMGDF6JWJ · pith_short_8: D2MMUPRN

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/D2MMUPRNMGDF6JWJTSTB2UUWQU \
  | 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: 1e98ca3e2d61865f26c99ca61d5296853c2d86a45cd3008d4b84df7b57a251db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea3e5518435794578aef8f9242e328e260b3f0b7174a446da0ba2affc3b33ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-03T00:45:57Z",
    "title_canon_sha256": "d7330b4cdd6200d3fce90e7c43c656f0af5545cd29a58474c3454fc911d849bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0579",
    "kind": "arxiv",
    "version": 2
  }
}