Pith Number

pith:3K6VO7XO

pith:2017:3K6VO7XOYG66W7GGEIO7MJOMA2

not attested not anchored not stored refs pending

On tight cycles in hypergraphs

Hao Huang, Jie Ma

arxiv:1711.07442 v2 · 2017-11-20 · 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{3K6VO7XOYG66W7GGEIO7MJOMA2}

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	2026-05-18T00:28:10.227042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabd577eeec1bdeb7cc6221df625cc069d0881de6f8ccd4b6feb5e85ef837c21

Aliases

arxiv: 1711.07442 · arxiv_version: 1711.07442v2 · doi: 10.48550/arxiv.1711.07442 · pith_short_12: 3K6VO7XOYG66 · pith_short_16: 3K6VO7XOYG66W7GG · pith_short_8: 3K6VO7XO

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/3K6VO7XOYG66W7GGEIO7MJOMA2 \
  | 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: dabd577eeec1bdeb7cc6221df625cc069d0881de6f8ccd4b6feb5e85ef837c21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85ff990a4cf77fa12e7064a2bd1548b70135bdb81d103065903fa3ebb1a1521",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-20T17:57:46Z",
    "title_canon_sha256": "796502769a6716685359396b6d934d6dee8a7fbe066880c1db10c5ec9c5728ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07442",
    "kind": "arxiv",
    "version": 2
  }
}