Pith Number

pith:VQB7S6IN

pith:2012:VQB7S6INZ53EPFP6ZE34RSMQED

not attested not anchored not stored refs pending

Group Colorings and Bernoulli Subflows

Brandon Seward, Steve Jackson, Su Gao

arxiv:1201.0513 v1 · 2012-01-02 · math.DS · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQB7S6INZ53EPFP6ZE34RSMQED}

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	2026-05-18T04:05:17.365780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac03f9790dcf764795fec937c8c99020ec5368ee42c94dcdb53cd65ffc8bd23a

Aliases

arxiv: 1201.0513 · arxiv_version: 1201.0513v1 · doi: 10.48550/arxiv.1201.0513 · pith_short_12: VQB7S6INZ53E · pith_short_16: VQB7S6INZ53EPFP6 · pith_short_8: VQB7S6IN

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/VQB7S6INZ53EPFP6ZE34RSMQED \
  | 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: ac03f9790dcf764795fec937c8c99020ec5368ee42c94dcdb53cd65ffc8bd23a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51208642e2cffb276f88a94d2db4763c036251c3f2eb5843d7e1699f1fcef841",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-02T19:02:49Z",
    "title_canon_sha256": "30788ace9fa09218839b41c7160fd81a2be2015938de69a37fd91bc20c642d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0513",
    "kind": "arxiv",
    "version": 1
  }
}