Pith Number

pith:2M3UBZNF

pith:2025:2M3UBZNFY54HH3TCRU72ZVQWSY

not attested not anchored not stored refs pending

The wreath matrix

Jan Petr, Pavel Turek

arxiv:2501.07269 v2 · 2025-01-13 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M3UBZNFY54HH3TCRU72ZVQWSY}

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	2026-07-05T10:43:26.248338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33740e5a5c77873ee628d3facd616961911e6ff79f176596255837727fa97af

Aliases

arxiv: 2501.07269 · arxiv_version: 2501.07269v2 · doi: 10.48550/arxiv.2501.07269 · pith_short_12: 2M3UBZNFY54H · pith_short_16: 2M3UBZNFY54HH3TC · pith_short_8: 2M3UBZNF

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/2M3UBZNFY54HH3TCRU72ZVQWSY \
  | 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: d33740e5a5c77873ee628d3facd616961911e6ff79f176596255837727fa97af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857b7a5fca8dbe7661646be9753e8c359739774379733cd29b337fe932d5bbc6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-01-13T12:32:20Z",
    "title_canon_sha256": "c9d0788c30a86ae34e20990f0a6e78a1a3ae80e902699b1481e6996503255429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07269",
    "kind": "arxiv",
    "version": 2
  }
}