Pith Number

pith:DJYJ4YLJ

pith:2010:DJYJ4YLJ3KECFXQOIRDPL7EM2G

not attested not anchored not stored refs pending

Explicit incidence bounds over general finite fields

Timothy G. F. Jones

arxiv:1009.3899 v3 · 2010-09-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJYJ4YLJ3KECFXQOIRDPL7EM2G}

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	2026-05-18T04:31:22.275982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a709e6169da8822de0e4446f5fc8cd1b6473a276b1cf58a2644fd4f76e47721

Aliases

arxiv: 1009.3899 · arxiv_version: 1009.3899v3 · doi: 10.48550/arxiv.1009.3899 · pith_short_12: DJYJ4YLJ3KEC · pith_short_16: DJYJ4YLJ3KECFXQO · pith_short_8: DJYJ4YLJ

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/DJYJ4YLJ3KECFXQOIRDPL7EM2G \
  | 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: 1a709e6169da8822de0e4446f5fc8cd1b6473a276b1cf58a2644fd4f76e47721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e8d1e37b50d35fc1c7e249ccd6a3e041ae2d35438ed40483584b51220af9cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-20T17:41:42Z",
    "title_canon_sha256": "5b517d11b0e17cc20d889814ecf30f7972c90d59bdf5f3b9a749141b68277ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3899",
    "kind": "arxiv",
    "version": 3
  }
}