Pith Number

pith:G4EJM73J

pith:2018:G4EJM73JDFKRITJLXHFMNV4A2R

not attested not anchored not stored refs pending

Low-degree planar polynomials over finite fields of characteristic two

Daniele Bartoli, Kai-Uwe Schmidt

arxiv:1809.06271 v1 · 2018-09-17 · math.CO · 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{G4EJM73JDFKRITJLXHFMNV4A2R}

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	2026-05-18T00:05:35.146725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3708967f691955144d2bb9cac6d780d457e6c48b279852f8af5b1777a691eaba

Aliases

arxiv: 1809.06271 · arxiv_version: 1809.06271v1 · doi: 10.48550/arxiv.1809.06271 · pith_short_12: G4EJM73JDFKR · pith_short_16: G4EJM73JDFKRITJL · pith_short_8: G4EJM73J

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/G4EJM73JDFKRITJLXHFMNV4A2R \
  | 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: 3708967f691955144d2bb9cac6d780d457e6c48b279852f8af5b1777a691eaba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e606fafbca56fe0f070da03105bf365b58e3442e3b91da9dad0c2da13e4b782b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-17T15:15:10Z",
    "title_canon_sha256": "b539dd6219aab95247e50f7761a89a4ffab2e91458185142bafc8e4fdd890be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06271",
    "kind": "arxiv",
    "version": 1
  }
}