Pith Number

pith:OZFNDNGB

pith:2024:OZFNDNGBYDAHOYGEYXXIOIW7OK

not attested not anchored not stored refs pending

Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph

Peter Dankelmann

arxiv:2411.13439 v1 · 2024-11-20 · 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{OZFNDNGBYDAHOYGEYXXIOIW7OK}

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	2026-07-05T09:38:16.886064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

764ad1b4c1c0c07760c4c5ee8722df72a79117fe56d6a81968b3a03693df96eb

Aliases

arxiv: 2411.13439 · arxiv_version: 2411.13439v1 · doi: 10.48550/arxiv.2411.13439 · pith_short_12: OZFNDNGBYDAH · pith_short_16: OZFNDNGBYDAHOYGE · pith_short_8: OZFNDNGB

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/OZFNDNGBYDAHOYGEYXXIOIW7OK \
  | 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: 764ad1b4c1c0c07760c4c5ee8722df72a79117fe56d6a81968b3a03693df96eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a976b764d5574956c2bdb37b8f6fc5a31eb30a7cc518d6a11e5abd3e59cb74",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-20T16:29:37Z",
    "title_canon_sha256": "dedb446d19677c0572363bd80577b204a4560eaaafa265ee30cd65d82a3c09d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13439",
    "kind": "arxiv",
    "version": 1
  }
}