Pith Number

pith:W7OTVAFR

pith:2005:W7OTVAFRZBVD53TQFTXUJ3ILPC

not attested not anchored not stored refs pending

Third-order integrable difference equations generated by a pair of second-order equations

Daisuke Takahashi, Junta Matsukidaira

arxiv:nlin/0512072 v1 · 2005-12-26 · nlin.SI · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7OTVAFRZBVD53TQFTXUJ3ILPC}

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	2026-05-18T01:05:21.691423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7dd3a80b1c86a3eee702cef44ed0b78a1144f10cd963a461016011a4b9e5676

Aliases

arxiv: nlin/0512072 · arxiv_version: nlin/0512072v1 · doi: 10.48550/arxiv.nlin/0512072 · pith_short_12: W7OTVAFRZBVD · pith_short_16: W7OTVAFRZBVD53TQ · pith_short_8: W7OTVAFR

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/W7OTVAFRZBVD53TQFTXUJ3ILPC \
  | 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: b7dd3a80b1c86a3eee702cef44ed0b78a1144f10cd963a461016011a4b9e5676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4d97f4331d2a2002d5d034fecfb4371b0e53cd869041b165ef5abd5e30a2a3",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2005-12-26T07:04:27Z",
    "title_canon_sha256": "0c7f42d530c10f947cf9c66ae80b03c247e3e1f6d11cf0d4ca0b0a8767c91831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0512072",
    "kind": "arxiv",
    "version": 1
  }
}