Pith Number

pith:K424NBAT

pith:2013:K424NBATA6CSVTLK22MXFI3FOF

not attested not anchored not stored refs pending

Equivariant indices of vector fields and 1-forms

Sabir M. Gusein-Zade, Wolfgang Ebeling

arxiv:1307.2054 v1 · 2013-07-08 · 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{K424NBATA6CSVTLK22MXFI3FOF}

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	2026-05-18T03:19:02.613337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5735c6841307852acd6ad69972a365716fab526cdbee64187a505d788d171206

Aliases

arxiv: 1307.2054 · arxiv_version: 1307.2054v1 · doi: 10.48550/arxiv.1307.2054 · pith_short_12: K424NBATA6CS · pith_short_16: K424NBATA6CSVTLK · pith_short_8: K424NBAT

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/K424NBATA6CSVTLK22MXFI3FOF \
  | 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: 5735c6841307852acd6ad69972a365716fab526cdbee64187a505d788d171206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f4d0353f4b49bbe22fef497961c8f7d9fb1eb6f18266f4da547f414fb8fea11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-08T12:05:09Z",
    "title_canon_sha256": "429af52708b6e3a16838df1bfff781f5764f38eb489c5af2f47f28e8c174f37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2054",
    "kind": "arxiv",
    "version": 1
  }
}