Pith Number

pith:63ZMOE2A

pith:2021:63ZMOE2ANKT6JPLBHKAW7K43RH

not attested not anchored not stored refs pending

Hypergraphs with many extremal configurations

Christian Reiher, Dhruv Mubayi, Xizhi Liu

arxiv:2102.02103 v2 · 2021-02-03 · 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{63ZMOE2ANKT6JPLBHKAW7K43RH}

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.

Cited by

1 paper in Pith

The Tur\'{a}n density of short tight cycles

Receipt and verification

First computed	2026-07-05T02:15:41.789022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f2c713406aa7e4bd613a816fab9b89d17887a20b0a258b4fe87954d807d9b1

Aliases

arxiv: 2102.02103 · arxiv_version: 2102.02103v2 · doi: 10.48550/arxiv.2102.02103 · pith_short_12: 63ZMOE2ANKT6 · pith_short_16: 63ZMOE2ANKT6JPLB · pith_short_8: 63ZMOE2A

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/63ZMOE2ANKT6JPLBHKAW7K43RH \
  | 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: f6f2c713406aa7e4bd613a816fab9b89d17887a20b0a258b4fe87954d807d9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0ad27b3f30392af48e7ebe9f243b79da251cc48c902eb17992033f9f04f701",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-02-03T15:17:31Z",
    "title_canon_sha256": "b5b807010d45e3922491040926488840ee901f5821010acf08cb4ff392b41d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.02103",
    "kind": "arxiv",
    "version": 2
  }
}