Pith Number

pith:42Z3NMVU

pith:2007:42Z3NMVUXMKNRYA67BL6ZVT7LU

not attested not anchored not stored refs pending

Defect and Hodge numbers of hypersurfaces

Slawomir Rams

arxiv:math/0702114 v1 · 2007-02-05 · 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{42Z3NMVUXMKNRYA67BL6ZVT7LU}

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	2026-05-18T03:44:58.183668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b3b6b2b4bb14d8e01ef857ecd67f5d2c75f415d28a052badf88c0032fcd68b

Aliases

arxiv: math/0702114 · arxiv_version: math/0702114v1 · doi: 10.48550/arxiv.math/0702114 · pith_short_12: 42Z3NMVUXMKN · pith_short_16: 42Z3NMVUXMKNRYA6 · pith_short_8: 42Z3NMVU

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/42Z3NMVUXMKNRYA67BL6ZVT7LU \
  | 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: e6b3b6b2b4bb14d8e01ef857ecd67f5d2c75f415d28a052badf88c0032fcd68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2baefc770b9b9a2bccc08c1d50f5e5bcd4dddb4b170c2ed5a94e833a5a06449a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-02-05T18:25:43Z",
    "title_canon_sha256": "391a51b8fc8af07c2e08d821c8c8bca4c98e9a3bf58c34ae2bc2a0e62c8c5fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702114",
    "kind": "arxiv",
    "version": 1
  }
}