Pith Number

pith:4JI2HH7O

pith:2011:4JI2HH7OCAHLPPLBVYXZYKUAPT

not attested not anchored not stored refs pending

The variational Poisson cohomology

Alberto De Sole, Victor G. Kac

arxiv:1106.0082 v2 · 2011-06-01 · math-ph · math.MP · math.RT · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JI2HH7OCAHLPPLBVYXZYKUAPT}

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	2026-05-18T01:24:13.041285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e251a39fee100eb7bd61ae2f9c2a807cf1938cfed5b66342882e2ec2e2180183

Aliases

arxiv: 1106.0082 · arxiv_version: 1106.0082v2 · doi: 10.48550/arxiv.1106.0082 · pith_short_12: 4JI2HH7OCAHL · pith_short_16: 4JI2HH7OCAHLPPLB · pith_short_8: 4JI2HH7O

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/4JI2HH7OCAHLPPLBVYXZYKUAPT \
  | 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: e251a39fee100eb7bd61ae2f9c2a807cf1938cfed5b66342882e2ec2e2180183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b538f60911a307c40586f6efcf3c989689248a020317052573b863af5e62627",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-01T03:28:01Z",
    "title_canon_sha256": "6c7301d7a3274c674cae03b5153f9d5f844058dc749b61fc8ebbfa7b4102f63b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0082",
    "kind": "arxiv",
    "version": 2
  }
}