Pith Number

pith:CWLSOYM6

pith:2012:CWLSOYM6B4DIE66WI3K2AFSR7L

not attested not anchored not stored refs pending

A new method for solving completely integrable PDEs

Andrey Melnikov

arxiv:1212.1748 v1 · 2012-12-08 · math.AP · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWLSOYM6B4DIE66WI3K2AFSR7L}

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	2026-05-18T03:38:55.236955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159727619e0f06827bd646d5a01651fac3c8742e01e7663e84268eb042cece64

Aliases

arxiv: 1212.1748 · arxiv_version: 1212.1748v1 · doi: 10.48550/arxiv.1212.1748 · pith_short_12: CWLSOYM6B4DI · pith_short_16: CWLSOYM6B4DIE66W · pith_short_8: CWLSOYM6

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/CWLSOYM6B4DIE66WI3K2AFSR7L \
  | 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: 159727619e0f06827bd646d5a01651fac3c8742e01e7663e84268eb042cece64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be1f8bf787dbeadd3c841194e0ac3773d51a0f37f4828060d9aebfab418c864",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-08T01:13:35Z",
    "title_canon_sha256": "5388b9484fb3383e234d40c88b7e65e4caa20cb0d10ece968ba125a645e3b51e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1748",
    "kind": "arxiv",
    "version": 1
  }
}