Pith Number

pith:LFY3Q3KN

pith:1998:LFY3Q3KNL5TKJ7TYI5J4XYFENZ

not attested not anchored not stored refs pending

Unified approach to Miura, B\"acklund and Darboux transformations for nonlinear partial differential equations

Esther Conde, P. G. Est\'evez, Pilar R. Gordoa

arxiv:math-ph/9801207 v1 · 1998-01-01 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFY3Q3KNL5TKJ7TYI5J4XYFENZ}

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	2026-05-18T01:38:30.811243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5971b86d4d5f66a4fe784753cbe0a46e55dc899a6d623e61fd7bdc8be23276dd

Aliases

arxiv: math-ph/9801207 · arxiv_version: math-ph/9801207v1 · doi: 10.48550/arxiv.math-ph/9801207 · pith_short_12: LFY3Q3KNL5TK · pith_short_16: LFY3Q3KNL5TKJ7TY · pith_short_8: LFY3Q3KN

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/LFY3Q3KNL5TKJ7TYI5J4XYFENZ \
  | 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: 5971b86d4d5f66a4fe784753cbe0a46e55dc899a6d623e61fd7bdc8be23276dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6a34da502682920b891b5d5a0f3cda930ba2849241402cf71a55f915f34b9a",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-01-01T00:00:00Z",
    "title_canon_sha256": "ca2ec5fe6941998eeef62e2254342c799bd84f37e201eabb43bae96636917988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9801207",
    "kind": "arxiv",
    "version": 1
  }
}