Pith Number

pith:53AQOYMJ

pith:2012:53AQOYMJUWOLRGUJNBAF3ONOPW

not attested not anchored not stored refs pending

Dispersionless bigraded Toda Hierarchy and its additional symmetry

Chuanzhong Li, Jingsong He

arxiv:1202.1653 v2 · 2012-02-08 · 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{53AQOYMJUWOLRGUJNBAF3ONOPW}

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	2026-05-18T01:58:32.453385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec1076189a59cb89a8968405db9ae7da54a7f386fd39c3182957eaeec13c14e

Aliases

arxiv: 1202.1653 · arxiv_version: 1202.1653v2 · doi: 10.48550/arxiv.1202.1653 · pith_short_12: 53AQOYMJUWOL · pith_short_16: 53AQOYMJUWOLRGUJ · pith_short_8: 53AQOYMJ

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/53AQOYMJUWOLRGUJNBAF3ONOPW \
  | 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: eec1076189a59cb89a8968405db9ae7da54a7f386fd39c3182957eaeec13c14e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa3710f0e8d1a2d84974b411b211e6c05a21e5edf1325a1c8d22c82bb8c884c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-02-08T10:53:23Z",
    "title_canon_sha256": "21df8230718f7eb075e9089c34de433de3b4b8cdccbfd01378a935b25d636e13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1653",
    "kind": "arxiv",
    "version": 2
  }
}