Pith Number

pith:6SCZTPOY

pith:2019:6SCZTPOYGNZTCWGXO24BONT4BF

not attested not anchored not stored refs pending

Wiener indices of maximal $k$-degenerate graphs

Allan Bickle, Zhongyuan Che

arxiv:1908.09202 v1 · 2019-08-24 · 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{6SCZTPOYGNZTCWGXO24BONT4BF}

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	2026-07-04T23:59:37.603708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48599bdd833733158d776b817367c097786fd663c9b53e594960a5e32de168c

Aliases

arxiv: 1908.09202 · arxiv_version: 1908.09202v1 · doi: 10.48550/arxiv.1908.09202 · pith_short_12: 6SCZTPOYGNZT · pith_short_16: 6SCZTPOYGNZTCWGX · pith_short_8: 6SCZTPOY

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/6SCZTPOYGNZTCWGXO24BONT4BF \
  | 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: f48599bdd833733158d776b817367c097786fd663c9b53e594960a5e32de168c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ba888d4c7104aeae128c8e2ba1a7068aee1591c51591c8c50efbe526cab3812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-24T20:41:03Z",
    "title_canon_sha256": "8d558fe90c0b739df776bea608be88227d6b664e186a5e2cbc463a4adb45e918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09202",
    "kind": "arxiv",
    "version": 1
  }
}