Pith Number

pith:FK26X2IC

pith:2007:FK26X2ICLGCCSBACJ5TKJAIBCI

not attested not anchored not stored refs pending

A new family of exceptional polynomials in characteristic two

Joel E. Rosenberg, Michael E. Zieve, Robert M. Guralnick

arxiv:0707.1837 v2 · 2007-07-12 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FK26X2ICLGCCSBACJ5TKJAIBCI}

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	2026-05-18T03:11:22.470329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ab5ebe90259842904024f66a48101121156e23650ae2ca5e59198063470c64b

Aliases

arxiv: 0707.1837 · arxiv_version: 0707.1837v2 · doi: 10.48550/arxiv.0707.1837 · pith_short_12: FK26X2ICLGCC · pith_short_16: FK26X2ICLGCCSBAC · pith_short_8: FK26X2IC

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/FK26X2ICLGCCSBACJ5TKJAIBCI \
  | 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: 2ab5ebe90259842904024f66a48101121156e23650ae2ca5e59198063470c64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05e6149e6b937911f1dd48bc9e31e2822fb0af1c49406f82c6123f323bba78a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-12T17:44:03Z",
    "title_canon_sha256": "3158da3f2cfceb1a7a07f19bcbdbe6640817ab012921ca26070cb88791c59224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1837",
    "kind": "arxiv",
    "version": 2
  }
}