Pith Number

pith:AZZ5BW5H

pith:2024:AZZ5BW5H6ICFQ3DDEG5GNZPCI4

not attested not anchored not stored refs pending

Recovering a group from few orbits

Brantley Vose, Dustin G. Mixon

arxiv:2411.17434 v1 · 2024-11-26 · math.RT · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZZ5BW5H6ICFQ3DDEG5GNZPCI4}

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	2026-07-05T09:40:47.140012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0673d0dba7f204586c6321ba66e5e2473d4eb38413114d40305c43c3b40951ef

Aliases

arxiv: 2411.17434 · arxiv_version: 2411.17434v1 · doi: 10.48550/arxiv.2411.17434 · pith_short_12: AZZ5BW5H6ICF · pith_short_16: AZZ5BW5H6ICFQ3DD · pith_short_8: AZZ5BW5H

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/AZZ5BW5H6ICFQ3DDEG5GNZPCI4 \
  | 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: 0673d0dba7f204586c6321ba66e5e2473d4eb38413114d40305c43c3b40951ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b206bfe0942fe5471912d5c1f9cc6ba457aba3bb7dfe404c16b2bfb93945c8c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2024-11-26T13:49:31Z",
    "title_canon_sha256": "33ca912024b1388a43720608454069c7c961e0d3691f91395cf38090e8e2a2cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17434",
    "kind": "arxiv",
    "version": 1
  }
}