Pith Number

pith:3HCXWMBR

pith:2003:3HCXWMBR7LIOU4EOUV3FKFQYSM

not attested not anchored not stored refs pending

Complexity of geometric three-manifolds

Bruno Martelli, Carlo Petronio

arxiv:math/0303249 v1 · 2003-03-20 · 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{3HCXWMBR7LIOU4EOUV3FKFQYSM}

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	2026-05-18T04:14:06.216085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c57b3031fad0ea708ea5765516189305647f39d9041afd424600f4b29e4d26

Aliases

arxiv: math/0303249 · arxiv_version: math/0303249v1 · doi: 10.48550/arxiv.math/0303249 · pith_short_12: 3HCXWMBR7LIO · pith_short_16: 3HCXWMBR7LIOU4EO · pith_short_8: 3HCXWMBR

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/3HCXWMBR7LIOU4EOUV3FKFQYSM \
  | 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: d9c57b3031fad0ea708ea5765516189305647f39d9041afd424600f4b29e4d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d3ff741a99c375548644b8b0441facf1125127d3003606ba80d1fe4bd8e4438",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-03-20T12:42:21Z",
    "title_canon_sha256": "c545c998e66aa58eb2218a6e87bca0e90020cfce8256785204c746c342e893ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303249",
    "kind": "arxiv",
    "version": 1
  }
}