Pith Number

pith:67BKQ3XP

pith:2002:67BKQ3XPSSZ2VL5DVAPMCAFK4R

not attested not anchored not stored refs pending

On odd Laplace operators

Hovhannes M. Khudaverdian, Theodore Voronov

arxiv:math/0205202 v3 · 2002-05-18 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67BKQ3XPSSZ2VL5DVAPMCAFK4R}

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	2026-05-17T23:56:49.269161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c2a86eef94b3aaafa3a81ec100aae458d51be47bc7e40e5210f4fd192142d4

Aliases

arxiv: math/0205202 · arxiv_version: math/0205202v3 · doi: 10.48550/arxiv.math/0205202 · pith_short_12: 67BKQ3XPSSZ2 · pith_short_16: 67BKQ3XPSSZ2VL5D · pith_short_8: 67BKQ3XP

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/67BKQ3XPSSZ2VL5DVAPMCAFK4R \
  | 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: f7c2a86eef94b3aaafa3a81ec100aae458d51be47bc7e40e5210f4fd192142d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13ca61a167def1b2ff690da84f5378d712f5a3ad4d93058b3d3f7e5399cab1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-05-18T01:51:49Z",
    "title_canon_sha256": "94f64a73b94685ddf0c0e13a3ca020f68af76f439717e94c4d611a74201c653c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205202",
    "kind": "arxiv",
    "version": 3
  }
}