Pith Number

pith:47FVXV4S

pith:2003:47FVXV4SLCHSFZKNK7ZF2VTCSN

not attested not anchored not stored refs pending

A calculus for ideal triangulations of three-manifolds with embedded arcs

Gennaro Amendola

arxiv:math/0301219 v1 · 2003-01-20 · 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{47FVXV4SLCHSFZKNK7ZF2VTCSN}

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	2026-05-17T23:55:15.331247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7cb5bd792588f22e54d57f25d5662935e35c94be95019a0b73dc7d0a544e150

Aliases

arxiv: math/0301219 · arxiv_version: math/0301219v1 · doi: 10.48550/arxiv.math/0301219 · pith_short_12: 47FVXV4SLCHS · pith_short_16: 47FVXV4SLCHSFZKN · pith_short_8: 47FVXV4S

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/47FVXV4SLCHSFZKNK7ZF2VTCSN \
  | 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: e7cb5bd792588f22e54d57f25d5662935e35c94be95019a0b73dc7d0a544e150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab2c83a5490ed6ea70b837a68079a6bb0521fb00c6f767bdb129556c28e209d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-01-20T18:46:51Z",
    "title_canon_sha256": "82bb0bb23d63db463a8abdab1525a2f78705ebfda64cb466b7a326242870f8c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301219",
    "kind": "arxiv",
    "version": 1
  }
}