Pith Number

pith:GKBKOICQ

pith:2002:GKBKOICQ5Z4Y4M4IA2ZXOVKGOF

not attested not anchored not stored refs pending

Extensors

Antonio M. Moya, Virginia V. Fern\'andez, Waldyr A. Rodrigues Jr

arxiv:math-ph/0212046 v1 · 2002-12-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKBKOICQ5Z4Y4M4IA2ZXOVKGOF}

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	2026-05-18T01:08:59.984169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3282a72050ee798e338806b37755467156612edc7339a05df2fb7e3d39be81f9

Aliases

arxiv: math-ph/0212046 · arxiv_version: math-ph/0212046v1 · doi: 10.48550/arxiv.math-ph/0212046 · pith_short_12: GKBKOICQ5Z4Y · pith_short_16: GKBKOICQ5Z4Y4M4I · pith_short_8: GKBKOICQ

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/GKBKOICQ5Z4Y4M4IA2ZXOVKGOF \
  | 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: 3282a72050ee798e338806b37755467156612edc7339a05df2fb7e3d39be81f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35eeffa9401b82f58d36d41dc2241c7e379bd35f717bc8e05059543931299d0d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-16T15:43:49Z",
    "title_canon_sha256": "f6a0b49427fe252dbf585e7d1a2cafd6ca01e36b52dce6cd52c8c98fa539d9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212046",
    "kind": "arxiv",
    "version": 1
  }
}