Pith Number

pith:HL6VCP6G

pith:2015:HL6VCP6GFFL6CXRSYRPH4FQGOA

not attested not anchored not stored refs pending

Calabi-Yau modular forms in limit: Elliptic Fibrations

Babak Haghighat, Hossein Movasati, Shing-Tung Yau

arxiv:1511.01310 v1 · 2015-11-04 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL6VCP6GFFL6CXRSYRPH4FQGOA}

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	2026-05-18T01:27:47.508104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afd513fc62957e15e32c45e7e1606701450d814900aab56534bc35098891626

Aliases

arxiv: 1511.01310 · arxiv_version: 1511.01310v1 · doi: 10.48550/arxiv.1511.01310 · pith_short_12: HL6VCP6GFFL6 · pith_short_16: HL6VCP6GFFL6CXRS · pith_short_8: HL6VCP6G

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/HL6VCP6GFFL6CXRSYRPH4FQGOA \
  | 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: 3afd513fc62957e15e32c45e7e1606701450d814900aab56534bc35098891626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "603fa40db0703c1db52f79a4592eb8eecad0842a5aacbec2986151b04a390956",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-04T12:50:02Z",
    "title_canon_sha256": "94ae2f64cc93e2d828ab41c1139c724f3eaf585e97a3b3438ee69d82cb9a23f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01310",
    "kind": "arxiv",
    "version": 1
  }
}