Pith Number

pith:NFBDKJKY

pith:2000:NFBDKJKYQADWY4NRYKP4XSAZFE

not attested not anchored not stored refs pending

A quantum analog of the Poincare-Birkhoff-Witt theorem

Vladislav Kharchenko

arxiv:math/0005101 v1 · 2000-05-10 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFBDKJKYQADWY4NRYKP4XSAZFE}

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	2026-07-04T14:34:30.051595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

694235255880076c71b1c29fcbc81929272c0b9144b2a2020125959a744a2e59

Aliases

arxiv: math/0005101 · arxiv_version: math/0005101v1 · doi: 10.48550/arxiv.math/0005101 · pith_short_12: NFBDKJKYQADW · pith_short_16: NFBDKJKYQADWY4NR · pith_short_8: NFBDKJKY

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/NFBDKJKYQADWY4NRYKP4XSAZFE \
  | 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: 694235255880076c71b1c29fcbc81929272c0b9144b2a2020125959a744a2e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0700b56ccfba429e1410ec5d1ff58a933578c16ed677213568ff16d60bacd22",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-05-10T19:39:19Z",
    "title_canon_sha256": "a2a753ef4f19a1e6def26d64c041bbbeb05e91095dd225ec4181503ae79a9e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005101",
    "kind": "arxiv",
    "version": 1
  }
}