Pith Number

pith:J33NYQEU

pith:2002:J33NYQEUIEZWLHTHIGLP2DE26K

not attested not anchored not stored refs pending

A precise definition of reduction of partial differential equations

Ivan M. Tsyfra, Renat Z. Zhdanov, Roman O. Popovych

arxiv:math-ph/0207023 v1 · 2002-07-18 · math-ph · math.AP · 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{J33NYQEUIEZWLHTHIGLP2DE26K}

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	2026-05-18T04:37:21.015040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef6dc40944133659e674196fd0c9af282b9a0c932b719113aa4f7fcedcc4480

Aliases

arxiv: math-ph/0207023 · arxiv_version: math-ph/0207023v1 · doi: 10.48550/arxiv.math-ph/0207023 · pith_short_12: J33NYQEUIEZW · pith_short_16: J33NYQEUIEZWLHTH · pith_short_8: J33NYQEU

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/J33NYQEUIEZWLHTHIGLP2DE26K \
  | 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: 4ef6dc40944133659e674196fd0c9af282b9a0c932b719113aa4f7fcedcc4480

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c84ffb0b358a24dd4b16d1570fd92895b3fca3cf159ab51efb71c5127ef2f1",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-07-18T17:13:05Z",
    "title_canon_sha256": "f7e58d0761b1662c771a3e27ae39a2ca042ce5afc5c8a19b1810726086224562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0207023",
    "kind": "arxiv",
    "version": 1
  }
}