Pith Number

pith:TRPY4FMP

pith:2011:TRPY4FMPNRHCUWXOYYIMTUSO2W

not attested not anchored not stored refs pending

Bicyclic graphs with maximal revised Szeged index

Mengmeng Liu, Xueliang Li

arxiv:1104.2122 v1 · 2011-04-12 · 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{TRPY4FMPNRHCUWXOYYIMTUSO2W}

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	2026-05-18T04:24:35.874418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5f8e158f6c4e2a5aeec610c9d24ed58c135ce69d17c03fdbd38a57bde430fb

Aliases

arxiv: 1104.2122 · arxiv_version: 1104.2122v1 · doi: 10.48550/arxiv.1104.2122 · pith_short_12: TRPY4FMPNRHC · pith_short_16: TRPY4FMPNRHCUWXO · pith_short_8: TRPY4FMP

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/TRPY4FMPNRHCUWXOYYIMTUSO2W \
  | 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: 9c5f8e158f6c4e2a5aeec610c9d24ed58c135ce69d17c03fdbd38a57bde430fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39169b029767ecbeb9598ad7bff1efda122bfdb6abe6a08687bface6baca5b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-12T06:53:16Z",
    "title_canon_sha256": "a86c8054a43469d3cd705eeaad22d338e09b9e04bd2da747058c58dc9f519ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2122",
    "kind": "arxiv",
    "version": 1
  }
}