Pith Number

pith:HBLXCJNJ

pith:2013:HBLXCJNJX3YUP26O7S4MGVGQFY

not attested not anchored not stored refs pending

Quasirandom group actions

Nick Gill

arxiv:1302.1186 v2 · 2013-02-05 · math.GR · 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{HBLXCJNJX3YUP26O7S4MGVGQFY}

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	2026-05-18T03:33:13.399962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38577125a9bef147ebcefcb8c354d02e11e70d2d924ed5a0c3084419b4361e4f

Aliases

arxiv: 1302.1186 · arxiv_version: 1302.1186v2 · doi: 10.48550/arxiv.1302.1186 · pith_short_12: HBLXCJNJX3YU · pith_short_16: HBLXCJNJX3YUP26O · pith_short_8: HBLXCJNJ

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/HBLXCJNJX3YUP26O7S4MGVGQFY \
  | 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: 38577125a9bef147ebcefcb8c354d02e11e70d2d924ed5a0c3084419b4361e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b371ee757bd4168d567c85ff564f77c8423c35cc5fd579b77f525c33a35dab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-05T20:43:31Z",
    "title_canon_sha256": "611ac3f9672d8ebddbc7c56ef05f6bb7fddc121fab081ba87adba76b5badc40c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1186",
    "kind": "arxiv",
    "version": 2
  }
}