Pith Number

pith:57ONRN2E

pith:2015:57ONRN2END7ABWVHWCAOUOB4NS

not attested not anchored not stored refs pending

Recursion operators and bi-Hamiltonian structure of the general heavenly equation

A. A. Malykh, D. Yaz{\i}c{\i}, M. B. Sheftel

arxiv:1510.03666 v3 · 2015-10-13 · math-ph · gr-qc · math.MP · 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{57ONRN2END7ABWVHWCAOUOB4NS}

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	2026-05-18T01:11:54.977171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efdcd8b74468fe00daa7b080ea383c6cbbd1a62d42bdbfd9543d308f23f01d5f

Aliases

arxiv: 1510.03666 · arxiv_version: 1510.03666v3 · doi: 10.48550/arxiv.1510.03666 · pith_short_12: 57ONRN2END7A · pith_short_16: 57ONRN2END7ABWVH · pith_short_8: 57ONRN2E

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/57ONRN2END7ABWVHWCAOUOB4NS \
  | 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: efdcd8b74468fe00daa7b080ea383c6cbbd1a62d42bdbfd9543d308f23f01d5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e00c6ec9d2b780ba1e27a2c11d6d268366001ef8fcab00b8766a4e99e247077",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-10-13T13:34:56Z",
    "title_canon_sha256": "38870679cffd5ed128076016ac3c0df87dc54b01f93053c50e8dec94ac23ef62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03666",
    "kind": "arxiv",
    "version": 3
  }
}