Pith Number

pith:AALC3N5U

pith:2009:AALC3N5UBMYL55ECUGFWBQLGOE

not attested not anchored not stored refs pending

Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff-Toda Hierarchy

Kanehisa Takasaki

arxiv:0908.3569 v3 · 2009-08-25 · nlin.SI · hep-th · math-ph · 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{AALC3N5UBMYL55ECUGFWBQLGOE}

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	2026-05-18T04:15:04.807174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00162db7b40b30bef482a18b60c1667126fa481538cb77edf99ee7fbb2553221

Aliases

arxiv: 0908.3569 · arxiv_version: 0908.3569v3 · doi: 10.48550/arxiv.0908.3569 · pith_short_12: AALC3N5UBMYL · pith_short_16: AALC3N5UBMYL55EC · pith_short_8: AALC3N5U

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/AALC3N5UBMYL55ECUGFWBQLGOE \
  | 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: 00162db7b40b30bef482a18b60c1667126fa481538cb77edf99ee7fbb2553221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b556ebb1b71ad99dfdfe0cb3bf82447c7540767d47dadefa04045a68ba1792",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-08-25T08:51:45Z",
    "title_canon_sha256": "69490f7f607b057b57e1ec2c942f30678998a2b65ee9478737b843c2ae29aec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3569",
    "kind": "arxiv",
    "version": 3
  }
}