Pith Number

pith:CNNJP7JQ

pith:2013:CNNJP7JQC4PLYPD4S6BKDE7GM2

not attested not anchored not stored refs pending

Energy of signed digraphs

Mushtaq A. Bhat, S. Pirzada

arxiv:1309.6266 v1 · 2013-09-24 · 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{CNNJP7JQC4PLYPD4S6BKDE7GM2}

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	2026-05-18T03:12:23.288339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

135a97fd30171ebc3c7c9782a193e666821229d9d5108a1654ed5e1dee405534

Aliases

arxiv: 1309.6266 · arxiv_version: 1309.6266v1 · doi: 10.48550/arxiv.1309.6266 · pith_short_12: CNNJP7JQC4PL · pith_short_16: CNNJP7JQC4PLYPD4 · pith_short_8: CNNJP7JQ

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/CNNJP7JQC4PLYPD4S6BKDE7GM2 \
  | 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: 135a97fd30171ebc3c7c9782a193e666821229d9d5108a1654ed5e1dee405534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188b539b6f08514b1a13a21444adf2b8e37d70f685744b6222faefc47c7290d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-24T17:50:58Z",
    "title_canon_sha256": "c2353da6f2bd5e12f3b68d3fef729daff62f4a43f3372a12fbaf16d8e1bef0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6266",
    "kind": "arxiv",
    "version": 1
  }
}