Pith Number

pith:Q7KC2DAX

pith:2022:Q7KC2DAXJ65REJD7QEA4P3KPRE

not attested not anchored not stored refs pending

On the conjecture about the exponential reduced Sombor index

Wei Gao

arxiv:2209.00787 v1 · 2022-09-02 · 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{Q7KC2DAXJ65REJD7QEA4P3KPRE}

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	2026-07-05T04:54:04.925163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d42d0c174fbb12247f8101c7ed4f8926cd76aa6b9917c63fc44231dd61dac8

Aliases

arxiv: 2209.00787 · arxiv_version: 2209.00787v1 · doi: 10.48550/arxiv.2209.00787 · pith_short_12: Q7KC2DAXJ65R · pith_short_16: Q7KC2DAXJ65REJD7 · pith_short_8: Q7KC2DAX

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/Q7KC2DAXJ65REJD7QEA4P3KPRE \
  | 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: 87d42d0c174fbb12247f8101c7ed4f8926cd76aa6b9917c63fc44231dd61dac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba1b8504bd81d05163c84c1d0ce15951a1168e66c19edcf3f37cc56b76fcd8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-02T02:29:27Z",
    "title_canon_sha256": "35c5179ee953a1c79cadeb0a8a427d1c315d4a744a25193aa3fc3d74602ebd78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00787",
    "kind": "arxiv",
    "version": 1
  }
}