Pith Number

pith:FGJA7UVK

pith:2006:FGJA7UVKWCZP3GPSWPPZE7XTNX

not attested not anchored not stored refs pending

Infinite primitive directed graphs

Simon Smith

arxiv:math/0602011 v1 · 2006-02-01 · math.CO · 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{FGJA7UVKWCZP3GPSWPPZE7XTNX}

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	2026-05-18T03:33:14.562588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29920fd2aab0b2fd99f2b3df927ef36dd2be8b58c624695927afb71881687f82

Aliases

arxiv: math/0602011 · arxiv_version: math/0602011v1 · doi: 10.48550/arxiv.math/0602011 · pith_short_12: FGJA7UVKWCZP · pith_short_16: FGJA7UVKWCZP3GPS · pith_short_8: FGJA7UVK

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/FGJA7UVKWCZP3GPSWPPZE7XTNX \
  | 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: 29920fd2aab0b2fd99f2b3df927ef36dd2be8b58c624695927afb71881687f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6d0e34e80df24ae8e733a29f659d312a0216f80abb03742c74a29aabdc0deac",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-02-01T11:19:10Z",
    "title_canon_sha256": "2c8f5bdb28583579cff908360d71b6dd256386b0fc20576d3c2d8112394717ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602011",
    "kind": "arxiv",
    "version": 1
  }
}