Pith Number

pith:JVLR3EDL

pith:2000:JVLR3EDL43GA7LEXWKESVGVEKT

not attested not anchored not stored refs pending

Twist deformations for generalized Heisenberg algebras

Vladimir D. Lyakhovsky

arxiv:math/0001136 v1 · 2000-01-25 · 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{JVLR3EDL43GA7LEXWKESVGVEKT}

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	2026-05-18T00:57:18.953421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d571d906be6cc0fac97b2892a9aa454fa4788b28bca2e64751f775018d5de8b

Aliases

arxiv: math/0001136 · arxiv_version: math/0001136v1 · doi: 10.48550/arxiv.math/0001136 · pith_short_12: JVLR3EDL43GA · pith_short_16: JVLR3EDL43GA7LEX · pith_short_8: JVLR3EDL

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/JVLR3EDL43GA7LEXWKESVGVEKT \
  | 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: 4d571d906be6cc0fac97b2892a9aa454fa4788b28bca2e64751f775018d5de8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefa18a9eb72b95b805c4043e7fc7fd1949ae2ad7bbda5ce875ffa8bc78755ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-01-25T13:44:42Z",
    "title_canon_sha256": "3efe0eb2ac044bb3754a325eef13002b749f82ef5183b41e55079839479efff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001136",
    "kind": "arxiv",
    "version": 1
  }
}