Pith Number

pith:6ELDDMR7

pith:2011:6ELDDMR7XBVLMT7WRZAZ3UW4P7

not attested not anchored not stored refs pending

On Distance Spectral Radius and Distance Energy of Graphs

Aleksandar Ilic, Bo Zhou

arxiv:1101.4393 v1 · 2011-01-23 · 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{6ELDDMR7XBVLMT7WRZAZ3UW4P7}

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	2026-05-18T04:31:11.113512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f11631b23fb86ab64ff68e419dd2dc7fffd7cf3de5523d2ed13959197c7a3073

Aliases

arxiv: 1101.4393 · arxiv_version: 1101.4393v1 · doi: 10.48550/arxiv.1101.4393 · pith_short_12: 6ELDDMR7XBVL · pith_short_16: 6ELDDMR7XBVLMT7W · pith_short_8: 6ELDDMR7

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/6ELDDMR7XBVLMT7WRZAZ3UW4P7 \
  | 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: f11631b23fb86ab64ff68e419dd2dc7fffd7cf3de5523d2ed13959197c7a3073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0403f9e7314cf1b1bbd4b22ac5c45156e60dc2de5a82c1d58df91881bc83037b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-23T17:16:55Z",
    "title_canon_sha256": "9ed48f8dca6087d7ac488bf25a3f1b6e61fcdc00ccafbf8b04bbc3c7b6824b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4393",
    "kind": "arxiv",
    "version": 1
  }
}