Pith Number

pith:67RLFMPF

pith:2013:67RLFMPFG4C5X6J4CT3DF5M3QJ

not attested not anchored not stored refs pending

Sperner's problem for G-independent families

Victor Falgas-Ravry

arxiv:1302.6039 v2 · 2013-02-25 · 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{67RLFMPFG4C5X6J4CT3DF5M3QJ}

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	2026-05-18T03:11:21.718598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e2b2b1e53705dbf93c14f632f59b8275a3e8aa6d24aa429ad374eddba18544

Aliases

arxiv: 1302.6039 · arxiv_version: 1302.6039v2 · doi: 10.48550/arxiv.1302.6039 · pith_short_12: 67RLFMPFG4C5 · pith_short_16: 67RLFMPFG4C5X6J4 · pith_short_8: 67RLFMPF

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/67RLFMPFG4C5X6J4CT3DF5M3QJ \
  | 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: f7e2b2b1e53705dbf93c14f632f59b8275a3e8aa6d24aa429ad374eddba18544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ccad64e25b94850a8c6a01fd449b70f9a228a6ece5944a3104c10accd65bf17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-25T10:40:01Z",
    "title_canon_sha256": "67bde6c87ded0ef9b54e6c7f9955bb030de6203edbf073687c5a754b156c48b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6039",
    "kind": "arxiv",
    "version": 2
  }
}