Pith Number

pith:JDCPDEPN

pith:2015:JDCPDEPN3ZZ42TZPMKLCBM3SQR

not attested not anchored not stored refs pending

Bounds and power means for the general Randic index

Clive Elphick, Pawel Wocjan

arxiv:1508.07950 v1 · 2015-08-31 · 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{JDCPDEPN3ZZ42TZPMKLCBM3SQR}

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	2026-05-18T01:34:31.149917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48c4f191edde73cd4f2f629620b372846f8da483fbddc53715498429bbd1a2e3

Aliases

arxiv: 1508.07950 · arxiv_version: 1508.07950v1 · doi: 10.48550/arxiv.1508.07950 · pith_short_12: JDCPDEPN3ZZ4 · pith_short_16: JDCPDEPN3ZZ42TZP · pith_short_8: JDCPDEPN

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/JDCPDEPN3ZZ42TZPMKLCBM3SQR \
  | 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: 48c4f191edde73cd4f2f629620b372846f8da483fbddc53715498429bbd1a2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0bc0a8876e1c8659fb2aa849f56e07e06de664e561f2948d7896f9f1c0c396",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-31T18:36:09Z",
    "title_canon_sha256": "1aba2235ef25e2b2441b15d3a070e4f48747e2f81e03933ba4388850c5d7d8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07950",
    "kind": "arxiv",
    "version": 1
  }
}