Pith Number

pith:JOPHKGEI

pith:2012:JOPHKGEIKHFOQTOBRYQJJKPLNA

not attested not anchored not stored refs pending

A nullstellensatz for sequences over F_p

Benjamin Girard (IMJ), Eric Balandraud (IMJ)

arxiv:1204.0373 v2 · 2012-04-02 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOPHKGEIKHFOQTOBRYQJJKPLNA}

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	2026-05-18T00:33:44.639383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b9e75188851cae84dc18e2094a9eb681c0bcdc7c5b17ad0153768f2d72f8432

Aliases

arxiv: 1204.0373 · arxiv_version: 1204.0373v2 · doi: 10.48550/arxiv.1204.0373 · pith_short_12: JOPHKGEIKHFO · pith_short_16: JOPHKGEIKHFOQTOB · pith_short_8: JOPHKGEI

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/JOPHKGEIKHFOQTOBRYQJJKPLNA \
  | 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: 4b9e75188851cae84dc18e2094a9eb681c0bcdc7c5b17ad0153768f2d72f8432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676e36a7ea4873ab8ede4ef99b4e9d9a24735059d26b850a02ca633a35031dd2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-02T11:38:49Z",
    "title_canon_sha256": "3f856106af9e63025b708080adba394b7b3280be9426ff1504dbddf0f51e4347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0373",
    "kind": "arxiv",
    "version": 2
  }
}