Pith Number

pith:32LJFZRJ

pith:2004:32LJFZRJ7NZV3H7JRSOVGAKVXD

not attested not anchored not stored refs pending

Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type

Si-Qi Liu, Youjin Zhang

arxiv:math/0405146 v1 · 2004-05-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32LJFZRJ7NZV3H7JRSOVGAKVXD}

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	2026-07-04T16:49:14.479694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9692e629fb735d9fe98c9d530155b8efd3326b91ef6a0d646f83760fb75518

Aliases

arxiv: math/0405146 · arxiv_version: math/0405146v1 · doi: 10.48550/arxiv.math/0405146 · pith_short_12: 32LJFZRJ7NZV · pith_short_16: 32LJFZRJ7NZV3H7J · pith_short_8: 32LJFZRJ

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/32LJFZRJ7NZV3H7JRSOVGAKVXD \
  | 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: de9692e629fb735d9fe98c9d530155b8efd3326b91ef6a0d646f83760fb75518

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eb246cae7973c625c07ae6afaf67b6e0ea623593506b3022cc6409c4060fdaf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-05-08T14:21:14Z",
    "title_canon_sha256": "a09d5810f7afd68715662c30420a99c5201bec5f6c95796dc51cec1ea51f96ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405146",
    "kind": "arxiv",
    "version": 1
  }
}