Pith Number

pith:UTJOOJ6L

pith:2013:UTJOOJ6L7IUECB7PIB6I6VU5LE

not attested not anchored not stored refs pending

On fundamental groups with the quotient topology

Jeremy Brazas, Paul Fabel

arxiv:1304.6453 v3 · 2013-04-24 · math.AT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTJOOJ6L7IUECB7PIB6I6VU5LE}

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	2026-05-18T00:48:55.480992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d2e727cbfa284107ef407c8f569d59097bc831e566e736bb5b658d19cb7c37

Aliases

arxiv: 1304.6453 · arxiv_version: 1304.6453v3 · doi: 10.48550/arxiv.1304.6453 · pith_short_12: UTJOOJ6L7IUE · pith_short_16: UTJOOJ6L7IUECB7P · pith_short_8: UTJOOJ6L

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/UTJOOJ6L7IUECB7PIB6I6VU5LE \
  | 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: a4d2e727cbfa284107ef407c8f569d59097bc831e566e736bb5b658d19cb7c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b081a7a267d85cf46171c6c4a1fd55ca645fd879ac604ce1f72aedc5b5441ba",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-24T00:52:11Z",
    "title_canon_sha256": "31789e2214ee8bb19e93657b9de365414cec2492cbe6f6a5d95fdcc52e147817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6453",
    "kind": "arxiv",
    "version": 3
  }
}