Pith Number

pith:ULUEUBIC

pith:2012:ULUEUBIC57E6H73ESXORCWHWNY

not attested not anchored not stored refs pending

The Recursion operators of the BKP hierarchy and the CKP Hierarchy

Chuanzhong Li, Jingsong He, Jipeng Cheng, Maohua Li

arxiv:1201.1612 v2 · 2012-01-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULUEUBIC57E6H73ESXORCWHWNY}

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	2026-05-18T02:29:53.434711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2e84a0502efc9e3ff6495dd1158f66e0f769b66f266ef878a61ca506e61579e

Aliases

arxiv: 1201.1612 · arxiv_version: 1201.1612v2 · doi: 10.48550/arxiv.1201.1612 · pith_short_12: ULUEUBIC57E6 · pith_short_16: ULUEUBIC57E6H73E · pith_short_8: ULUEUBIC

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/ULUEUBIC57E6H73ESXORCWHWNY \
  | 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: a2e84a0502efc9e3ff6495dd1158f66e0f769b66f266ef878a61ca506e61579e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5a18500d3701160323d6f377ad68a1347c7bac006a6c433929be3706adbb54b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-08T06:50:46Z",
    "title_canon_sha256": "7e116b766749baa49cf1c9f573580f832e55baffb6fce74fbac74f1caabe2516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1612",
    "kind": "arxiv",
    "version": 2
  }
}