Pith Number

pith:AMO25D6K

pith:2013:AMO25D6KW6WUDZAKPQHOZKKTA7

not attested not anchored not stored refs pending

Rational differential systems, loop equations, and application to the q-th reductions of KP

Bertrand Eynard, Ga\"etan Borot, Michel Berg\`ere

arxiv:1312.4237 v1 · 2013-12-16 · math-ph · 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{AMO25D6KW6WUDZAKPQHOZKKTA7}

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	2026-05-18T01:02:46.114144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031dae8fcab7ad41e40a7c0eeca95307d0884a859fa69658eb68ec64f73a634a

Aliases

arxiv: 1312.4237 · arxiv_version: 1312.4237v1 · doi: 10.48550/arxiv.1312.4237 · pith_short_12: AMO25D6KW6WU · pith_short_16: AMO25D6KW6WUDZAK · pith_short_8: AMO25D6K

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/AMO25D6KW6WUDZAKPQHOZKKTA7 \
  | 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: 031dae8fcab7ad41e40a7c0eeca95307d0884a859fa69658eb68ec64f73a634a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c2aec3073c3d0f2ae94fd9d74fd307b0587b3c4580cac5d2678c548304f82f",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-16T03:06:53Z",
    "title_canon_sha256": "eed0866780a9e2dc8b72c466cbbda6f8066e3ff43fabf40dcfce8913186fd3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4237",
    "kind": "arxiv",
    "version": 1
  }
}