Pith Number

pith:2WME2LWF

pith:2017:2WME2LWF5LLJR3UT2MVINBAPNA

not attested not anchored not stored refs pending

Extremality of graph entropy based on degrees of uniform hypergraphs with few edges

Dan Hu, Shenggui Zhang, Xiaogang Liu, Xueliang Li

arxiv:1709.09594 v1 · 2017-09-27 · 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{2WME2LWF5LLJR3UT2MVINBAPNA}

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	2026-05-18T00:34:11.207868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5984d2ec5ead698ee93d32a86840f683c52fdfc6ee98ad4be530ab04dd3bff0

Aliases

arxiv: 1709.09594 · arxiv_version: 1709.09594v1 · doi: 10.48550/arxiv.1709.09594 · pith_short_12: 2WME2LWF5LLJ · pith_short_16: 2WME2LWF5LLJR3UT · pith_short_8: 2WME2LWF

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/2WME2LWF5LLJR3UT2MVINBAPNA \
  | 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: d5984d2ec5ead698ee93d32a86840f683c52fdfc6ee98ad4be530ab04dd3bff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a96b9f841305a225aa88216330a02a80eb1b71a0a7ca78254492800797a3596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-27T15:52:27Z",
    "title_canon_sha256": "50c92f54efedf4f4064b1b761031f4ee8322fb98b1854e91331033a20a5e74ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09594",
    "kind": "arxiv",
    "version": 1
  }
}