Pith Number

pith:OJLIRPZ5

pith:2016:OJLIRPZ54SPJVGFQR52RNGEWON

not attested not anchored not stored refs pending

An Improved Point-Line Incidence Bound Over Arbitrary Fields

Frank de Zeeuw, Sophie Stevens

arxiv:1609.06284 v4 · 2016-09-20 · 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{OJLIRPZ54SPJVGFQR52RNGEWON}

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	2026-05-18T00:38:04.173719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

725688bf3de49e9a98b08f75169896736107386a085b9ecf59b36963914b0859

Aliases

arxiv: 1609.06284 · arxiv_version: 1609.06284v4 · doi: 10.48550/arxiv.1609.06284 · pith_short_12: OJLIRPZ54SPJ · pith_short_16: OJLIRPZ54SPJVGFQ · pith_short_8: OJLIRPZ5

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/OJLIRPZ54SPJVGFQR52RNGEWON \
  | 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: 725688bf3de49e9a98b08f75169896736107386a085b9ecf59b36963914b0859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719de17573347c42c28d8ac4afd1d2056a300fd7535c25f640879904c9c1dced",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-20T18:32:01Z",
    "title_canon_sha256": "bd7bd50d6348070b89812a8c763e97a5d512e336a8782f0163a6e847b750851a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06284",
    "kind": "arxiv",
    "version": 4
  }
}