Pith Number

pith:E4GDJHFA

pith:2010:E4GDJHFALS6C5RYHRVH3ZSFW7J

not attested not anchored not stored refs pending

Examples of endperiodic automorphisms

John Cantwell (Saint Louis University), Lawrence Conlon (Washington University)

arxiv:1008.2549 v2 · 2010-08-15 · 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{E4GDJHFALS6C5RYHRVH3ZSFW7J}

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.

Cited by

1 paper in Pith

Volumes of end-periodic mapping tori

Receipt and verification

First computed	2026-05-18T01:22:58.255048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270c349ca05cbc2ec7078d4fbcc8b6fa73cdb9a83032747358c9c065579edf0d

Aliases

arxiv: 1008.2549 · arxiv_version: 1008.2549v2 · doi: 10.48550/arxiv.1008.2549 · pith_short_12: E4GDJHFALS6C · pith_short_16: E4GDJHFALS6C5RYH · pith_short_8: E4GDJHFA

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/E4GDJHFALS6C5RYHRVH3ZSFW7J \
  | 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: 270c349ca05cbc2ec7078d4fbcc8b6fa73cdb9a83032747358c9c065579edf0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4b4691ca0a90b95facf96b0b08e2de01259d8dd91a80b328ddc805d3758b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-15T20:37:55Z",
    "title_canon_sha256": "fea4fc87fec8d67429202d147a42377e7d186da35dc0153caad70ec75274ed50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2549",
    "kind": "arxiv",
    "version": 2
  }
}