Pith Number

pith:ZDGNQ5CK

pith:2013:ZDGNQ5CK3QDVFJXMZLOLFQ3QJG

not attested not anchored not stored refs pending

Quantitative nonorientability of embedded cycles

Robert Young

arxiv:1312.0966 v2 · 2013-12-03 · math.DG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDGNQ5CK3QDVFJXMZLOLFQ3QJG}

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	2026-05-18T00:23:02.280088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ccd8744adc0752a6eccadcb2c37049be7dc7275d55b822a8f53bc9d6dd9492

Aliases

arxiv: 1312.0966 · arxiv_version: 1312.0966v2 · doi: 10.48550/arxiv.1312.0966 · pith_short_12: ZDGNQ5CK3QDV · pith_short_16: ZDGNQ5CK3QDVFJXM · pith_short_8: ZDGNQ5CK

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/ZDGNQ5CK3QDVFJXMZLOLFQ3QJG \
  | 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: c8ccd8744adc0752a6eccadcb2c37049be7dc7275d55b822a8f53bc9d6dd9492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c8f57ecda8e74b5fe5bddd8546c4c2953ee16d157cfbfe1defc08c5f68241a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-03T21:44:08Z",
    "title_canon_sha256": "38b7bbf1aa3434cd151705ed9a7dbf213d823ee18d5a0dd926c3bafc98ebb849"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0966",
    "kind": "arxiv",
    "version": 2
  }
}