Pith Number

pith:XAABH4QM

pith:2015:XAABH4QMTIPIWASMRT6TCXQOGK

not attested not anchored not stored refs pending

The maximum degree resistance distance of cacti

Jia-Bao Liu, Xiang-Feng Pan

arxiv:1511.04704 v2 · 2015-11-15 · 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{XAABH4QMTIPIWASMRT6TCXQOGK}

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	2026-05-18T01:17:00.047102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b80013f20c9a1e8b024c8cfd315e0e329b08f31ba69ec6af5dc8ee71ebd959b8

Aliases

arxiv: 1511.04704 · arxiv_version: 1511.04704v2 · doi: 10.48550/arxiv.1511.04704 · pith_short_12: XAABH4QMTIPI · pith_short_16: XAABH4QMTIPIWASM · pith_short_8: XAABH4QM

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/XAABH4QMTIPIWASMRT6TCXQOGK \
  | 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: b80013f20c9a1e8b024c8cfd315e0e329b08f31ba69ec6af5dc8ee71ebd959b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a4799f1041683f1bc53f2c12a86c4813a248febb7d7d9b1c7b10e844265857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-15T14:27:18Z",
    "title_canon_sha256": "442b98c4f80b74bb59d8ee10cef91a0e5a61bcc95ffa389e54e317ec6b9cef01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04704",
    "kind": "arxiv",
    "version": 2
  }
}