Pith Number

pith:3RIPXWB5

pith:2013:3RIPXWB577TNYHEK2BRI7MUWBT

not attested not anchored not stored refs pending

Note on the number of edges in families with linear union-complexity

Piotr Micek, Rom Pinchasi

arxiv:1312.1678 v3 · 2013-12-05 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RIPXWB577TNYHEK2BRI7MUWBT}

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	2026-05-18T02:39:48.527561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc50fbd83dffe6dc1c8ad0628fb2960ce7dd809546fe694c37c72ce3aa057eed

Aliases

arxiv: 1312.1678 · arxiv_version: 1312.1678v3 · doi: 10.48550/arxiv.1312.1678 · pith_short_12: 3RIPXWB577TN · pith_short_16: 3RIPXWB577TNYHEK · pith_short_8: 3RIPXWB5

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/3RIPXWB577TNYHEK2BRI7MUWBT \
  | 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: dc50fbd83dffe6dc1c8ad0628fb2960ce7dd809546fe694c37c72ce3aa057eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f6abf83327349140cc0dc79f8450f88b2455c320cfe52875f564cb47b3e6f30",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-05T20:55:26Z",
    "title_canon_sha256": "05b23e1584e968d9ac18abbccae44de93797026193f1a95abd32db78e9873264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1678",
    "kind": "arxiv",
    "version": 3
  }
}