Pith Number

pith:4EHROTCR

pith:2011:4EHROTCR7BYBTEVE2NSHIY53YX

not attested not anchored not stored refs pending

Generalizations of Wiener polarity index and terminal Wiener index

Aleksandar Ilic, Milovan Ilic

arxiv:1106.2986 v2 · 2011-06-15 · 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{4EHROTCR7BYBTEVE2NSHIY53YX}

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	2026-05-18T03:51:25.668722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e10f174c51f8701992a4d3647463bbc5d202e513f13ec2882ff96524a5d4bfa5

Aliases

arxiv: 1106.2986 · arxiv_version: 1106.2986v2 · doi: 10.48550/arxiv.1106.2986 · pith_short_12: 4EHROTCR7BYB · pith_short_16: 4EHROTCR7BYBTEVE · pith_short_8: 4EHROTCR

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/4EHROTCR7BYBTEVE2NSHIY53YX \
  | 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: e10f174c51f8701992a4d3647463bbc5d202e513f13ec2882ff96524a5d4bfa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffccb9216f7bb319e4ceb7003f846d698afbdb5d038db598d9662a48d329393a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-15T14:37:12Z",
    "title_canon_sha256": "cd725d7227c68c009c9682fd31824d7d15192ba0a3812f6074d898c2d5a85648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2986",
    "kind": "arxiv",
    "version": 2
  }
}