Pith Number

pith:TDRV5NGY

pith:2013:TDRV5NGYSVVLDLX3CLGV3J6M67

not attested not anchored not stored refs pending

Compact 3-manifolds via 4-colored graphs

Michele Mulazzani, Paola Cristofori

arxiv:1304.5070 v4 · 2013-04-18 · 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{TDRV5NGYSVVLDLX3CLGV3J6M67}

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	2026-05-18T00:28:57.421031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e35eb4d8956ab1aefb12cd5da7ccf7c5d83a6639fc4f8c4e686d18360c49e8

Aliases

arxiv: 1304.5070 · arxiv_version: 1304.5070v4 · doi: 10.48550/arxiv.1304.5070 · pith_short_12: TDRV5NGYSVVL · pith_short_16: TDRV5NGYSVVLDLX3 · pith_short_8: TDRV5NGY

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/TDRV5NGYSVVLDLX3CLGV3J6M67 \
  | 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: 98e35eb4d8956ab1aefb12cd5da7ccf7c5d83a6639fc4f8c4e686d18360c49e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ab417541f713ae87029274363cf193eb6f1660ca75b2224b5fa41cc5ce79fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-18T10:15:07Z",
    "title_canon_sha256": "1187dd20939896fcbd26ac3c9053c94527396ba82d4fa3799ebb7c7b1ac89777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5070",
    "kind": "arxiv",
    "version": 4
  }
}