Pith Number

pith:ZIW6JQM3

pith:2012:ZIW6JQM3QMW5IMACFCAP33ENHH

not attested not anchored not stored refs pending

On Addition Formulae of KP, mKP and BKP Hierarchies

Yoko Shigyo

arxiv:1212.1952 v3 · 2012-12-10 · nlin.SI · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIW6JQM3QMW5IMACFCAP33ENHH}

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	2026-05-18T03:27:22.774367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca2de4c19b832dd430022880fdec8d39d2924c2820477f11d116ebfe18346f9a

Aliases

arxiv: 1212.1952 · arxiv_version: 1212.1952v3 · doi: 10.48550/arxiv.1212.1952 · pith_short_12: ZIW6JQM3QMW5 · pith_short_16: ZIW6JQM3QMW5IMAC · pith_short_8: ZIW6JQM3

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/ZIW6JQM3QMW5IMACFCAP33ENHH \
  | 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: ca2de4c19b832dd430022880fdec8d39d2924c2820477f11d116ebfe18346f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b978d7f6d7e25d2ca7ffe132d7a30006b7e1ed36662c59e400e4bd76b411e2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-12-10T01:58:58Z",
    "title_canon_sha256": "ab94b174c885e27e85e0c33e76b0e3dc8c4370f91aee73ba7bc70414a995517e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1952",
    "kind": "arxiv",
    "version": 3
  }
}