Pith Number

pith:K5LELVHF

pith:2019:K5LELVHFFVRZTKVFSCPG4CGVI2

not attested not anchored not stored refs pending

On the Complementary Equienergetic Graphs

Akbar Ali, Mohammad Ali Rostami, Suresh Elumalai, Toufik Mansour

arxiv:1907.12963 v2 · 2019-07-30 · 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{K5LELVHFFVRZTKVFSCPG4CGVI2}

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	2026-07-05T01:33:17.395081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575645d4e52d6399aaa5909e6e08d5469f242f7eee5ce58e713670bd6b9dfa23

Aliases

arxiv: 1907.12963 · arxiv_version: 1907.12963v2 · doi: 10.48550/arxiv.1907.12963 · pith_short_12: K5LELVHFFVRZ · pith_short_16: K5LELVHFFVRZTKVF · pith_short_8: K5LELVHF

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/K5LELVHFFVRZTKVFSCPG4CGVI2 \
  | 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: 575645d4e52d6399aaa5909e6e08d5469f242f7eee5ce58e713670bd6b9dfa23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b4d832736dbbef97fbded35f604754a5e97b9dd56529c3a01828668898b9f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-30T14:10:27Z",
    "title_canon_sha256": "152948bb167939d33ab012295060acf634e458e85ddf583b97e8286e2ec6a545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.12963",
    "kind": "arxiv",
    "version": 2
  }
}