Pith Number

pith:J3I76OWM

pith:2013:J3I76OWMO4ZU6VSX67FGK22JYI

not attested not anchored not stored refs pending

On manifolds with multiple lens space filings

Brandy Guntel Doleshal, Kenneth L. Baker, Neil Hoffman

arxiv:1308.5002 v1 · 2013-08-22 · 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{J3I76OWMO4ZU6VSX67FGK22JYI}

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	2026-05-18T03:15:17.701502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed1ff3acc77334f5657f7ca656b49c218b3adf96aec8c5397604b689ed24565

Aliases

arxiv: 1308.5002 · arxiv_version: 1308.5002v1 · doi: 10.48550/arxiv.1308.5002 · pith_short_12: J3I76OWMO4ZU · pith_short_16: J3I76OWMO4ZU6VSX · pith_short_8: J3I76OWM

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/J3I76OWMO4ZU6VSX67FGK22JYI \
  | 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: 4ed1ff3acc77334f5657f7ca656b49c218b3adf96aec8c5397604b689ed24565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bc7919f2fb59bed64a650276f3f225e29a69f74d3fab5e26ea7ac22f4aca76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-22T21:42:41Z",
    "title_canon_sha256": "07c2504f0f161a904720595feb1fd186b98c10eb0855787a9b4a55ea854da9ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5002",
    "kind": "arxiv",
    "version": 1
  }
}