Pith Number

pith:4CPGOANT

pith:2016:4CPGOANTPAMTDUPFRW3ZEKX6JH

not attested not anchored not stored refs pending

Remarks on the energy of regular graphs

V. Nikiforov

arxiv:1604.04275 v3 · 2016-04-14 · 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{4CPGOANTPAMTDUPFRW3ZEKX6JH}

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	2026-05-18T01:15:22.369495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09e6701b3781931d1e58db7922afe49e27d18142385bebcbd6498b060448d2c

Aliases

arxiv: 1604.04275 · arxiv_version: 1604.04275v3 · doi: 10.48550/arxiv.1604.04275 · pith_short_12: 4CPGOANTPAMT · pith_short_16: 4CPGOANTPAMTDUPF · pith_short_8: 4CPGOANT

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/4CPGOANTPAMTDUPFRW3ZEKX6JH \
  | 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: e09e6701b3781931d1e58db7922afe49e27d18142385bebcbd6498b060448d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6b233a332ac92ebedf9655d42eb8ebfa508e2faae9c10d15d90144ea47cbd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-14T19:43:34Z",
    "title_canon_sha256": "51df2d3a1f7c2a983dd53ae8d8f4114ca3fc2448920818939323c57a7ad07087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04275",
    "kind": "arxiv",
    "version": 3
  }
}