Pith Number

pith:HJJ434PN

pith:2006:HJJ434PNKDUTFMIJ2BVFYQS7FK

not attested not anchored not stored refs pending

Existence and construction of bipotentials for graphs of multivalued laws

Claude Vallee, Gery de Saxce, Marius Buliga

arxiv:math/0608424 v4 · 2006-08-16 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJJ434PNKDUTFMIJ2BVFYQS7FK}

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	2026-05-17T23:53:52.806714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a53cdf1ed50e932b109d06a5c425f2aa82e62bdcd9c3e48e21d870bbe8d1421

Aliases

arxiv: math/0608424 · arxiv_version: math/0608424v4 · doi: 10.48550/arxiv.math/0608424 · pith_short_12: HJJ434PNKDUT · pith_short_16: HJJ434PNKDUTFMIJ · pith_short_8: HJJ434PN

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/HJJ434PNKDUTFMIJ2BVFYQS7FK \
  | 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: 3a53cdf1ed50e932b109d06a5c425f2aa82e62bdcd9c3e48e21d870bbe8d1421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c71c2b511ba572500038da3e8500a8a40ed7c67bfa0ccd0d72833885b532a1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2006-08-16T10:15:41Z",
    "title_canon_sha256": "8269f12c2ab61329cf872a2eab73ae7a47c74f4dbb602c10b85837cebf71e039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608424",
    "kind": "arxiv",
    "version": 4
  }
}