Pith Number

pith:OGNFRLTC

pith:1999:OGNFRLTC7F3FRPD5CIKIBX4JWI

not attested not anchored not stored refs pending

One-skeleta, Betti numbers and equivariant cohomology

Catalin Zara, Victor Guillemin

arxiv:math/9903051 v2 · 1999-03-09 · 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{OGNFRLTC7F3FRPD5CIKIBX4JWI}

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.

Cited by

1 paper in Pith

Boundary framings for locally conformally symplectic four-manifolds

Receipt and verification

First computed	2026-07-04T14:41:04.790029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719a58ae62f97658bc7d121480df89b206edaafedaf355ad878fc5eb974b049d

Aliases

arxiv: math/9903051 · arxiv_version: math/9903051v2 · doi: 10.48550/arxiv.math/9903051 · pith_short_12: OGNFRLTC7F3F · pith_short_16: OGNFRLTC7F3FRPD5 · pith_short_8: OGNFRLTC

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/OGNFRLTC7F3FRPD5CIKIBX4JWI \
  | 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: 719a58ae62f97658bc7d121480df89b206edaafedaf355ad878fc5eb974b049d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af3125fb930fa145f8f77d9bd1d06c48e27ddbb7f601f49f727c3c7146a0bd4a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-03-09T19:27:15Z",
    "title_canon_sha256": "bf230e2141623af0354b6abeb9077dd6e4274258cce90e1e77d2b1f6336d6ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903051",
    "kind": "arxiv",
    "version": 2
  }
}