Pith Number

pith:XAVE3VUB

pith:2013:XAVE3VUBI3ZTOEZFIW2YZK2V73

not attested not anchored not stored refs pending

Tricyclic graphs with maximal revised Szeged index

Lily Chen, Mengmeng Liu, Xueliang Li

arxiv:1307.0192 v1 · 2013-06-30 · 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{XAVE3VUBI3ZTOEZFIW2YZK2V73}

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	2026-05-18T03:19:34.020249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82a4dd68146f337132545b58cab55feec45f96036c71791a05b0e854b128e04

Aliases

arxiv: 1307.0192 · arxiv_version: 1307.0192v1 · doi: 10.48550/arxiv.1307.0192 · pith_short_12: XAVE3VUBI3ZT · pith_short_16: XAVE3VUBI3ZTOEZF · pith_short_8: XAVE3VUB

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/XAVE3VUBI3ZTOEZFIW2YZK2V73 \
  | 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: b82a4dd68146f337132545b58cab55feec45f96036c71791a05b0e854b128e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4f8ec8e699b25e549384685757edb790b63508483cba270bf4ac87ed3adb206",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-30T10:02:29Z",
    "title_canon_sha256": "dfa0e7ab65bb53b6664088ab2426ca437ef2443e7dac4511cca0c444a67a2b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0192",
    "kind": "arxiv",
    "version": 1
  }
}