Pith Number

pith:VAPXY24U

pith:2007:VAPXY24U5U64JXMYE3FBJGU6NY

not attested not anchored not stored refs pending

L^2 Castelnuovo-de Franchis, the cup product lemma, and filtered ends of Kaehler manifolds

Mohan Ramachandran, Terrence Napier

arxiv:0711.1155 v1 · 2007-11-07 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAPXY24U5U64JXMYE3FBJGU6NY}

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	2026-05-18T01:49:54.419387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81f7c6b94ed3dc4dd9826ca149a9e6e2f1a4414570818177bc231da6fcfd883

Aliases

arxiv: 0711.1155 · arxiv_version: 0711.1155v1 · doi: 10.48550/arxiv.0711.1155 · pith_short_12: VAPXY24U5U64 · pith_short_16: VAPXY24U5U64JXMY · pith_short_8: VAPXY24U

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/VAPXY24U5U64JXMYE3FBJGU6NY \
  | 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: a81f7c6b94ed3dc4dd9826ca149a9e6e2f1a4414570818177bc231da6fcfd883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05192fce691427fcb21027c67f24a6b58664e6342252c942b1e0670a2c2320e9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-11-07T20:29:46Z",
    "title_canon_sha256": "5776ce39eeff432a73bcb63effd87285243d740448e914016d742bd140aaa86f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1155",
    "kind": "arxiv",
    "version": 1
  }
}