Pith Number

pith:G3W4KGA6

pith:2013:G3W4KGA6JH2XW2TNIK26QSB3HD

not attested not anchored not stored refs pending

A Degree Theorem for the Space of Ribbon Graphs

Bradley Forrest

arxiv:1302.0554 v2 · 2013-02-04 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3W4KGA6JH2XW2TNIK26QSB3HD}

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	2026-05-18T03:02:05.748289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36edc5181e49f57b6a6d42b5e8483b38d69ca3cd5006792e1cef35c694e0924d

Aliases

arxiv: 1302.0554 · arxiv_version: 1302.0554v2 · doi: 10.48550/arxiv.1302.0554 · pith_short_12: G3W4KGA6JH2X · pith_short_16: G3W4KGA6JH2XW2TN · pith_short_8: G3W4KGA6

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/G3W4KGA6JH2XW2TNIK26QSB3HD \
  | 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: 36edc5181e49f57b6a6d42b5e8483b38d69ca3cd5006792e1cef35c694e0924d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31800fee1a98c9492ea5b9f92e071df7711dbdf72124ff8954b0293125a59120",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-04T00:10:09Z",
    "title_canon_sha256": "210dea08a3e41985996b185bff7e92557680499fe730545e0489852bc9b94b23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0554",
    "kind": "arxiv",
    "version": 2
  }
}