Pith Number

pith:HOPJWDIZ

pith:2013:HOPJWDIZR3PU3OLWJPKBSJGSDN

not attested not anchored not stored refs pending

Quantum Torus symmetry of the KP, KdV and BKP hierarchies

Chuanzhong Li, Jingsong He

arxiv:1312.0758 v2 · 2013-12-03 · math-ph · math.MP · nlin.SI · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOPJWDIZR3PU3OLWJPKBSJGSDN}

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	2026-05-18T02:45:04.517885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9e9b0d198edf4db9764bd41924d21b48c698f70b753f6bdf2b2515447ccee7

Aliases

arxiv: 1312.0758 · arxiv_version: 1312.0758v2 · doi: 10.48550/arxiv.1312.0758 · pith_short_12: HOPJWDIZR3PU · pith_short_16: HOPJWDIZR3PU3OLW · pith_short_8: HOPJWDIZ

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/HOPJWDIZR3PU3OLWJPKBSJGSDN \
  | 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: 3b9e9b0d198edf4db9764bd41924d21b48c698f70b753f6bdf2b2515447ccee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc9bd9dd2b316d2f766281c7c2ecc372ce1601e4793b72cd29c5ffd932269618",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-03T10:25:11Z",
    "title_canon_sha256": "f2862ebcc98650840ddf73256af98ddcdb8b119834f1577311fd17915b8389b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0758",
    "kind": "arxiv",
    "version": 2
  }
}