Pith Number

pith:EM4G3GT2

pith:2015:EM4G3GT22NP6P7DJ7SHPHIGXQO

not attested not anchored not stored refs pending

Incidences between points and lines on a two-dimensional variety

Micha Sharir, Noam Solomon

arxiv:1502.01670 v1 · 2015-01-13 · math.AG · 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{EM4G3GT22NP6P7DJ7SHPHIGXQO}

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	2026-05-18T01:59:37.587791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23386d9a7ad35fe7fc69fc8ef3a0d783aa642263a4eeaff2439a3dd0a95b027f

Aliases

arxiv: 1502.01670 · arxiv_version: 1502.01670v1 · doi: 10.48550/arxiv.1502.01670 · pith_short_12: EM4G3GT22NP6 · pith_short_16: EM4G3GT22NP6P7DJ · pith_short_8: EM4G3GT2

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/EM4G3GT22NP6P7DJ7SHPHIGXQO \
  | 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: 23386d9a7ad35fe7fc69fc8ef3a0d783aa642263a4eeaff2439a3dd0a95b027f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99881743db3bc2c84fe09ca144c9f2f269c1acb88058f051f71bf17769f4918c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-13T05:30:37Z",
    "title_canon_sha256": "120fd3dd388ce2c8b441b836e2a82ffa5c2ceff016294e29a3519d6b7c8a6d46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01670",
    "kind": "arxiv",
    "version": 1
  }
}