Pith Number

pith:BMZJDYQF

pith:2012:BMZJDYQF2JMOVLOM6QGAY3SKX7

not attested not anchored not stored refs pending

Maximum Estrada Index of Bicyclic Graphs

Long Wang, Yi Wang, Yi-Zheng Fan

arxiv:1204.3686 v1 · 2012-04-17 · 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{BMZJDYQF2JMOVLOM6QGAY3SKX7}

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	2026-05-18T02:42:37.603774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b3291e205d258eaadccf40c0c6e4abff6ff316f19174ac64afa97fc1bda8933

Aliases

arxiv: 1204.3686 · arxiv_version: 1204.3686v1 · doi: 10.48550/arxiv.1204.3686 · pith_short_12: BMZJDYQF2JMO · pith_short_16: BMZJDYQF2JMOVLOM · pith_short_8: BMZJDYQF

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/BMZJDYQF2JMOVLOM6QGAY3SKX7 \
  | 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: 0b3291e205d258eaadccf40c0c6e4abff6ff316f19174ac64afa97fc1bda8933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45daa3705a09b0e174b16a646762211ebd5a2dcdec6673516b49ba5990f48f64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-17T02:01:12Z",
    "title_canon_sha256": "e1956473951328a167ed83adcbdec15a1889304586b4c06be9db1460bc04b0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3686",
    "kind": "arxiv",
    "version": 1
  }
}