Pith Number

pith:RFEN3YKI

pith:2010:RFEN3YKIVJTSRAMH5WCMO6Y5DT

not attested not anchored not stored refs pending

Generalized energies and integrable D^{(1)}_n cellular automaton

Atsuo Kuniba, Reiho Sakamoto, Yasuhiko Yamada

arxiv:1001.1813 v2 · 2010-01-12 · math.QA · 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{RFEN3YKIVJTSRAMH5WCMO6Y5DT}

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	2026-05-18T00:37:38.565074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8948dde148aa67288187ed84c77b1d1ce4ffe28bf3b01786c52ab04c36458b66

Aliases

arxiv: 1001.1813 · arxiv_version: 1001.1813v2 · doi: 10.48550/arxiv.1001.1813 · pith_short_12: RFEN3YKIVJTS · pith_short_16: RFEN3YKIVJTSRAMH · pith_short_8: RFEN3YKI

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/RFEN3YKIVJTSRAMH5WCMO6Y5DT \
  | 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: 8948dde148aa67288187ed84c77b1d1ce4ffe28bf3b01786c52ab04c36458b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5214b513cc2550bcb23ed84144dffe6d496beb2a2c994458e4c806f2cbbe91f3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-01-12T08:08:56Z",
    "title_canon_sha256": "7e2d7207e0b9612f4ab0523e55ea46ccc17b515f23f3aad9ebaac792ba6db732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1813",
    "kind": "arxiv",
    "version": 2
  }
}