Pith Number

pith:7TQ47HTR

pith:2015:7TQ47HTRTZP5HUVWK3LRR65KSM

not attested not anchored not stored refs pending

A note on tilted Sperner families with patterns

D\'aniel Gerbner, M\'at\'e Vizer

arxiv:1507.02242 v2 · 2015-07-08 · 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{7TQ47HTRTZP5HUVWK3LRR65KSM}

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	2026-05-18T01:14:35.974279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce1cf9e719e5fd3d2b656d718fbaa933e3eac68483c03e56902bb2550c13cc6

Aliases

arxiv: 1507.02242 · arxiv_version: 1507.02242v2 · doi: 10.48550/arxiv.1507.02242 · pith_short_12: 7TQ47HTRTZP5 · pith_short_16: 7TQ47HTRTZP5HUVW · pith_short_8: 7TQ47HTR

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/7TQ47HTRTZP5HUVWK3LRR65KSM \
  | 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: fce1cf9e719e5fd3d2b656d718fbaa933e3eac68483c03e56902bb2550c13cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c12308d042af26b08bd738df284ab37f12a5afc21c69f1f284f00f79788fd2d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-08T18:08:41Z",
    "title_canon_sha256": "6f386e5afa8234353df112e336489555a1e972c495f87fef731d0d4163628544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02242",
    "kind": "arxiv",
    "version": 2
  }
}