Pith Number

pith:37AINLFP

pith:2010:37AINLFPGJX3CTPQ2VAN3N5U4E

not attested not anchored not stored refs pending

Complete solution to a conjecture on the maximal energy of unicyclic graphs

Bofeng Huo, Xueliang Li, Yongtang Shi

arxiv:1011.4658 v2 · 2010-11-21 · 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{37AINLFPGJX3CTPQ2VAN3N5U4E}

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	2026-05-18T04:28:29.241330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc086acaf326fb14df0d540ddb7b4e103cd49fd689326067761bc4e4d84d19b

Aliases

arxiv: 1011.4658 · arxiv_version: 1011.4658v2 · doi: 10.48550/arxiv.1011.4658 · pith_short_12: 37AINLFPGJX3 · pith_short_16: 37AINLFPGJX3CTPQ · pith_short_8: 37AINLFP

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/37AINLFPGJX3CTPQ2VAN3N5U4E \
  | 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: dfc086acaf326fb14df0d540ddb7b4e103cd49fd689326067761bc4e4d84d19b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25cd37ecaca7a5b182fda6acb9169a070f1dca26ea9205f40d81332c37175c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-21T12:25:51Z",
    "title_canon_sha256": "c153365deeaccac66f923657d298bc58560756bfa1d623d9403888090ab9805d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4658",
    "kind": "arxiv",
    "version": 2
  }
}