Pith Number

pith:FWIUCRB5

pith:2012:FWIUCRB5CCEN252VMESKBXEXD5

not attested not anchored not stored refs pending

Darboux theory of integrability in the sparse case

Guillaume Ch\`eze (IMT)

arxiv:1210.7780 v1 · 2012-10-29 · math.CA · 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{FWIUCRB5CCEN252VMESKBXEXD5}

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	2026-05-18T03:41:58.110384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9141443d1088dd77556124a0dc971f79099b278455c65f50ce01070f573717

Aliases

arxiv: 1210.7780 · arxiv_version: 1210.7780v1 · doi: 10.48550/arxiv.1210.7780 · pith_short_12: FWIUCRB5CCEN · pith_short_16: FWIUCRB5CCEN252V · pith_short_8: FWIUCRB5

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/FWIUCRB5CCEN252VMESKBXEXD5 \
  | 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: 2d9141443d1088dd77556124a0dc971f79099b278455c65f50ce01070f573717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08be1943159f231e6a27c6f8d5ffec0d78c985615cfa9f9735dc185348c80b4a",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-29T19:09:38Z",
    "title_canon_sha256": "1540410e3f2af2061042a21c5ea7eadae956805d02fad03c4c47ff84ba9bd21a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7780",
    "kind": "arxiv",
    "version": 1
  }
}