Pith Number

pith:YXY7AHPA

pith:2014:YXY7AHPAGL3ONAYGR7V2HRMFPF

not attested not anchored not stored refs pending

On the minimal energy of tetracyclic graphs

Hongping Ma, Yongqiang Bai

arxiv:1408.1283 v1 · 2014-08-06 · 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{YXY7AHPAGL3ONAYGR7V2HRMFPF}

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	2026-05-18T02:45:47.675040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f1f01de032f6e683068feba3c585795d4807954925355f64a02572d1546e99

Aliases

arxiv: 1408.1283 · arxiv_version: 1408.1283v1 · doi: 10.48550/arxiv.1408.1283 · pith_short_12: YXY7AHPAGL3O · pith_short_16: YXY7AHPAGL3ONAYG · pith_short_8: YXY7AHPA

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/YXY7AHPAGL3ONAYGR7V2HRMFPF \
  | 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: c5f1f01de032f6e683068feba3c585795d4807954925355f64a02572d1546e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1be94180c215355e42888462bde6a1f33c7c2def5ee9070cc9b25a001e2330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-06T13:59:05Z",
    "title_canon_sha256": "82f9da2947096571c489831659d6098496124d343cbf1cc1fc237ee9b96c9370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1283",
    "kind": "arxiv",
    "version": 1
  }
}