Pith Number

pith:2DMYM4QW

pith:2023:2DMYM4QWSALMPVX4NZYU76J3BG

not attested not anchored not stored refs pending

Random divergence of groups

Alessandro Sisto, Antoine Goldsborough

arxiv:2303.09943 v1 · 2023-03-17 · math.GR · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DMYM4QWSALMPVX4NZYU76J3BG}

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	2026-07-05T05:52:12.539163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d98672169016c7d6fc6e714ff93b0990bb0734c5690f1597f035e5862c2646

Aliases

arxiv: 2303.09943 · arxiv_version: 2303.09943v1 · doi: 10.48550/arxiv.2303.09943 · pith_short_12: 2DMYM4QWSALM · pith_short_16: 2DMYM4QWSALMPVX4 · pith_short_8: 2DMYM4QW

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/2DMYM4QWSALMPVX4NZYU76J3BG \
  | 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: d0d98672169016c7d6fc6e714ff93b0990bb0734c5690f1597f035e5862c2646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b15c518bd6fdbbdb52ebd28c3b5b529ef2be213bc76d9d7f210968a26fc124ef",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-03-17T13:01:36Z",
    "title_canon_sha256": "015beed58049d185a788cfb90cb93a8d94746b58e1b5eda8ba2faa864de59d50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.09943",
    "kind": "arxiv",
    "version": 1
  }
}