Pith Number

pith:2OU5LDWP

pith:2025:2OU5LDWPH22OK3VBILA5RWFAQB

not attested not anchored not stored refs pending

Birkhoff normal form via decorated trees

Jacob Armstrong-Goodall, Yvain Bruned

arxiv:2505.04547 v1 · 2025-05-07 · math.AP · math.DS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OU5LDWPH22OK3VBILA5RWFAQB}

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	2026-07-05T10:59:53.666125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a9d58ecf3eb4e56ea142c1d8d8a0806c1e5964fba9cb5374559a86f79bcbc6

Aliases

arxiv: 2505.04547 · arxiv_version: 2505.04547v1 · doi: 10.48550/arxiv.2505.04547 · pith_short_12: 2OU5LDWPH22O · pith_short_16: 2OU5LDWPH22OK3VB · pith_short_8: 2OU5LDWP

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/2OU5LDWPH22OK3VBILA5RWFAQB \
  | 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: d3a9d58ecf3eb4e56ea142c1d8d8a0806c1e5964fba9cb5374559a86f79bcbc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2db626dc0596657f7ba5f7f637ca6ff2484ccc4cf8832f915d9831e98f5a6d",
    "cross_cats_sorted": [
      "math.DS",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-07T16:27:41Z",
    "title_canon_sha256": "5213c70a08f096e2e6e77b9ab1f941f8b4f59838a258b6c21b7fa9a87abb8a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04547",
    "kind": "arxiv",
    "version": 1
  }
}