Pith Number

pith:GX4J77RO

pith:2014:GX4J77RO7TSPGXATS4E2QGP5M6

not attested not anchored not stored refs pending

Cross-intersecting families of vectors

G\'abor Tardos, J\'anos Pach

arxiv:1405.2805 v2 · 2014-05-12 · 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{GX4J77RO7TSPGXATS4E2QGP5M6}

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	2026-05-18T02:28:20.831302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f89ffe2efce4f35c139709a819fd67a972dbb9969eb4d15d1bc164dd7e6fb7

Aliases

arxiv: 1405.2805 · arxiv_version: 1405.2805v2 · doi: 10.48550/arxiv.1405.2805 · pith_short_12: GX4J77RO7TSP · pith_short_16: GX4J77RO7TSPGXAT · pith_short_8: GX4J77RO

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/GX4J77RO7TSPGXATS4E2QGP5M6 \
  | 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: 35f89ffe2efce4f35c139709a819fd67a972dbb9969eb4d15d1bc164dd7e6fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f205941622bcda8a4d983dfaee892a1b9c42942cff039c2eb517aaa2d135c65f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-12T15:29:35Z",
    "title_canon_sha256": "f608e85997ed56837487d841d1361960f7ade1811ff7a199feec2f2a87689d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2805",
    "kind": "arxiv",
    "version": 2
  }
}