Pith Number

pith:3WUJ2J7R

pith:2015:3WUJ2J7RMJA5XCWLW2YVJ37LYE

not attested not anchored not stored refs pending

Incidences between planes over finite fields

Le Anh Vinh, Nguyen Duy Phuong, Thang Pham

arxiv:1510.03481 v1 · 2015-10-12 · 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{3WUJ2J7RMJA5XCWLW2YVJ37LYE}

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	2026-05-18T01:30:17.094702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda89d27f16241db8acbb6b154efebc11b542ddf3ac3d1a5c1c18ee66e15a792

Aliases

arxiv: 1510.03481 · arxiv_version: 1510.03481v1 · doi: 10.48550/arxiv.1510.03481 · pith_short_12: 3WUJ2J7RMJA5 · pith_short_16: 3WUJ2J7RMJA5XCWL · pith_short_8: 3WUJ2J7R

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/3WUJ2J7RMJA5XCWLW2YVJ37LYE \
  | 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: dda89d27f16241db8acbb6b154efebc11b542ddf3ac3d1a5c1c18ee66e15a792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdd86dc082224b840384ee3cf7ea30f0554569d229c4915435c8dfcab4648007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-12T23:03:35Z",
    "title_canon_sha256": "af3843599a76cce3e2214f70960ece7472bc6654ff7be0a5afe8a471e766d184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03481",
    "kind": "arxiv",
    "version": 1
  }
}