Pith Number

pith:QCGLCEPX

pith:2016:QCGLCEPX77NDBOLVBK3TIZ2CYX

not attested not anchored not stored refs pending

Finding non-orientable surfaces in 3-manifolds

Arnaud de Mesmay, Benjamin A. Burton, Uli Wagner

arxiv:1602.07907 v2 · 2016-02-25 · math.GT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCGLCEPX77NDBOLVBK3TIZ2CYX}

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	2026-05-18T01:06:28.822008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808cb111f7ffda30b9750ab7346742c5c76e51d04d2c8acaa694431d09c5b8aa

Aliases

arxiv: 1602.07907 · arxiv_version: 1602.07907v2 · doi: 10.48550/arxiv.1602.07907 · pith_short_12: QCGLCEPX77ND · pith_short_16: QCGLCEPX77NDBOLV · pith_short_8: QCGLCEPX

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/QCGLCEPX77NDBOLVBK3TIZ2CYX \
  | 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: 808cb111f7ffda30b9750ab7346742c5c76e51d04d2c8acaa694431d09c5b8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97287cde245dd7c0f09977ee6e69356eba5f9f798750300750d4dc9e6d01a01d",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-25T12:45:41Z",
    "title_canon_sha256": "006122813f3b798bb74a7b5caf7d8f0e35e40d62a4683361a57a6824accad55c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07907",
    "kind": "arxiv",
    "version": 2
  }
}