Pith Number

pith:MAE7A3JD

pith:2015:MAE7A3JDAF6ZTUNM26OZKYTUDJ

not attested not anchored not stored refs pending

Three-dimensional manifolds with poor spines

Andrei Vesnin, Evgeny Fominykh, Vladimir Turaev

arxiv:1505.05795 v1 · 2015-05-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAE7A3JDAF6ZTUNM26OZKYTUDJ}

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	2026-05-18T02:03:53.455504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6009f06d23017d99d1acd79d9562741a707bb82df4f48c3df6f62ebf89347b68

Aliases

arxiv: 1505.05795 · arxiv_version: 1505.05795v1 · doi: 10.48550/arxiv.1505.05795 · pith_short_12: MAE7A3JDAF6Z · pith_short_16: MAE7A3JDAF6ZTUNM · pith_short_8: MAE7A3JD

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/MAE7A3JDAF6ZTUNM26OZKYTUDJ \
  | 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: 6009f06d23017d99d1acd79d9562741a707bb82df4f48c3df6f62ebf89347b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54bf2ac11198a86068c943120f5cd18ac5532700c990d70fc42df39df70402fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-21T17:20:53Z",
    "title_canon_sha256": "7e04cb8fb92e9e6af06624453fd20089eaf2e979cfb2490c88add6ef873c8832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05795",
    "kind": "arxiv",
    "version": 1
  }
}