Pith Number

pith:4GTUTJME

pith:2003:4GTUTJMEXIBWESEY2GKSZ2KPNL

not attested not anchored not stored refs pending

Fixed point data of finite groups acting on 3-manifolds

Peter E. Frenkel

arxiv:math/0301159 v2 · 2003-01-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GTUTJMEXIBWESEY2GKSZ2KPNL}

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	2026-05-18T02:41:32.777454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1a749a584ba03624898d1952ce94f6afac7bfd8dd4c2425362ed0fc82a90e52

Aliases

arxiv: math/0301159 · arxiv_version: math/0301159v2 · doi: 10.48550/arxiv.math/0301159 · pith_short_12: 4GTUTJMEXIBW · pith_short_16: 4GTUTJMEXIBWESEY · pith_short_8: 4GTUTJME

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/4GTUTJMEXIBWESEY2GKSZ2KPNL \
  | 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: e1a749a584ba03624898d1952ce94f6afac7bfd8dd4c2425362ed0fc82a90e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff7a9cb399aa8b4826911e239aeb208ffa3ea52fa1ad918ece6b386139d36f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-01-15T15:17:54Z",
    "title_canon_sha256": "c0a54ea2933d4f0235ca6c98e56d35fe49084e49a2cdeb0844aa4ec30da22065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301159",
    "kind": "arxiv",
    "version": 2
  }
}