Pith Number

pith:JK64NFRI

pith:2012:JK64NFRI7NBT3IMNWEAG6RVL2P

not attested not anchored not stored refs pending

Particular Integrability and (Quasi)-exact-solvability

Alexander V. Turbiner

arxiv:1206.2907 v2 · 2012-06-13 · math-ph · math.MP · nlin.SI · physics.class-ph · 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{JK64NFRI7NBT3IMNWEAG6RVL2P}

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	2026-05-18T01:56:58.934641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abdc69628fb433da18db1006f46abd3e86bb602c801ae7b9918b624420734e2

Aliases

arxiv: 1206.2907 · arxiv_version: 1206.2907v2 · doi: 10.48550/arxiv.1206.2907 · pith_short_12: JK64NFRI7NBT · pith_short_16: JK64NFRI7NBT3IMN · pith_short_8: JK64NFRI

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/JK64NFRI7NBT3IMNWEAG6RVL2P \
  | 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: 4abdc69628fb433da18db1006f46abd3e86bb602c801ae7b9918b624420734e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16c1f396b64ea2fa56cebda37b8efae9f94c48de1676d4721941fb3e46411c4",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "physics.class-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-13T19:47:22Z",
    "title_canon_sha256": "44a867398c86bf1b2c6db85582420ab2a60a7b772c5ff831d3087edb92f8ec13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2907",
    "kind": "arxiv",
    "version": 2
  }
}