Pith Number

pith:3NQ7WDA5

pith:2019:3NQ7WDA53AU3ADYP65G24PJYYY

not attested not anchored not stored refs pending

On graphic arrangement groups

Daniel C Cohen, Michael J Falk

arxiv:1908.07664 v1 · 2019-08-21 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3NQ7WDA53AU3ADYP65G24PJYYY}

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	2026-07-05T03:12:44.008110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db61fb0c1dd829b00f0ff74dae3d38c61e54ecb6a728505833da44b90c1a45c8

Aliases

arxiv: 1908.07664 · arxiv_version: 1908.07664v1 · doi: 10.48550/arxiv.1908.07664 · pith_short_12: 3NQ7WDA53AU3 · pith_short_16: 3NQ7WDA53AU3ADYP · pith_short_8: 3NQ7WDA5

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/3NQ7WDA53AU3ADYP65G24PJYYY \
  | 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: db61fb0c1dd829b00f0ff74dae3d38c61e54ecb6a728505833da44b90c1a45c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f547501b6b71f411869a989f26a88f8883032cfed2c40a5f9296f696c8ee546",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-21T01:16:42Z",
    "title_canon_sha256": "4c874b13f80bac381e13241703dc67609e5e669afa6b7c9003fe5dbc2bc8b118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07664",
    "kind": "arxiv",
    "version": 1
  }
}