Pith Number

pith:3MDI2FJH

pith:2019:3MDI2FJHLSPED3QRZAONSAN5V5

not attested not anchored not stored refs pending

3-uniform hypergraphs with few Berge paths of length three between any two vertices

Gennian Ge, Tao Zhang, Zixiang Xu

arxiv:1908.01459 v2 · 2019-08-05 · 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{3MDI2FJHLSPED3QRZAONSAN5V5}

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	2026-07-05T00:16:36.072676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db068d15275c9e41ee11c81cd901bdaf587048365444bc84203599964d2f3445

Aliases

arxiv: 1908.01459 · arxiv_version: 1908.01459v2 · doi: 10.48550/arxiv.1908.01459 · pith_short_12: 3MDI2FJHLSPE · pith_short_16: 3MDI2FJHLSPED3QR · pith_short_8: 3MDI2FJH

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/3MDI2FJHLSPED3QRZAONSAN5V5 \
  | 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: db068d15275c9e41ee11c81cd901bdaf587048365444bc84203599964d2f3445

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84c21142298f415bf1243a1f5ee0f937b0412782235f8584191a7d709bd09d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-05T04:07:33Z",
    "title_canon_sha256": "e2b4617f6fef5487bcf1bd9ba2529ea3cd1a566e87b6eb081aa11291bd641b0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01459",
    "kind": "arxiv",
    "version": 2
  }
}