Pith Number

pith:CYBL2ONJ

pith:2015:CYBL2ONJQJ3MTMIGAFM5Y6Y2TJ

not attested not anchored not stored refs pending

Incidences between points and lines in three dimensions

Micha Sharir, Noam Solomon

arxiv:1501.02544 v1 · 2015-01-12 · 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{CYBL2ONJQJ3MTMIGAFM5Y6Y2TJ}

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	2026-05-18T02:29:37.707017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1602bd39a98276c9b1060159dc7b1a9a59884f05aa12aaabc59574bfcd5fa090

Aliases

arxiv: 1501.02544 · arxiv_version: 1501.02544v1 · doi: 10.48550/arxiv.1501.02544 · pith_short_12: CYBL2ONJQJ3M · pith_short_16: CYBL2ONJQJ3MTMIG · pith_short_8: CYBL2ONJ

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/CYBL2ONJQJ3MTMIGAFM5Y6Y2TJ \
  | 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: 1602bd39a98276c9b1060159dc7b1a9a59884f05aa12aaabc59574bfcd5fa090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b29b0c30b4086724d82d4212eebb586714235133bbaa1531f9d002f18ad33cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-12T05:10:15Z",
    "title_canon_sha256": "66f8ed39c1c1f4b3212789fee4c462246efa51c25c8b714bcefff8af77a092b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02544",
    "kind": "arxiv",
    "version": 1
  }
}