Pith Number

pith:SOEZTTJ2

pith:2011:SOEZTTJ2SYSL25EJ3JETHF7XG4

not attested not anchored not stored refs pending

Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds

Antonella Grassi, David R. Morrison

arxiv:1109.0042 v2 · 2011-08-31 · hep-th · 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{SOEZTTJ2SYSL25EJ3JETHF7XG4}

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	2026-05-18T04:04:04.969872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938999cd3a9624bd7489da493397f737036b823fd56ba39779c8d9695b5355c4

Aliases

arxiv: 1109.0042 · arxiv_version: 1109.0042v2 · doi: 10.48550/arxiv.1109.0042 · pith_short_12: SOEZTTJ2SYSL · pith_short_16: SOEZTTJ2SYSL25EJ · pith_short_8: SOEZTTJ2

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/SOEZTTJ2SYSL25EJ3JETHF7XG4 \
  | 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: 938999cd3a9624bd7489da493397f737036b823fd56ba39779c8d9695b5355c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0ed035c3a93b3900b7337c56516b5e214ca344fa7550f10f093612486e7426",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-31T21:50:49Z",
    "title_canon_sha256": "16eef910bf6d81330dab833378759a50ef160cc1e8c897227160deb3304e05ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0042",
    "kind": "arxiv",
    "version": 2
  }
}