Pith Number

pith:VT22XGLN

pith:2007:VT22XGLNKO5QF3CZO3OB36PE7S

not attested not anchored not stored refs pending

Remarks on the waterbag model of dispersionless Toda Hierarchy

Jen-Hsu Chang

arxiv:0709.3859 v1 · 2007-09-25 · 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{VT22XGLNKO5QF3CZO3OB36PE7S}

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	2026-05-18T02:16:11.025214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf5ab996d53bb02ec5976dc1df9e4fcb5750f3ebc4c30798cfe34c1d2ea7df6

Aliases

arxiv: 0709.3859 · arxiv_version: 0709.3859v1 · doi: 10.48550/arxiv.0709.3859 · pith_short_12: VT22XGLNKO5Q · pith_short_16: VT22XGLNKO5QF3CZ · pith_short_8: VT22XGLN

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/VT22XGLNKO5QF3CZO3OB36PE7S \
  | 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: acf5ab996d53bb02ec5976dc1df9e4fcb5750f3ebc4c30798cfe34c1d2ea7df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9034b2ff637ca25afec0369fbd114c5ba2786897d219b694f745c2c7ccc4f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-09-25T01:23:41Z",
    "title_canon_sha256": "b63e6605c1e26112c5c97733850f2b6068a89508844d0027d8eca2c3bf379d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3859",
    "kind": "arxiv",
    "version": 1
  }
}