Pith Number

pith:MXWMVDMX

pith:2018:MXWMVDMXUT4IJ5QMWXIPQMWR3P

not attested not anchored not stored refs pending

Bounds on the edge-Wiener index of cacti with $n$ vertices and $t$ cycles

Rong-Xia Hao, Siyan Liu

arxiv:1809.01128 v1 · 2018-09-04 · 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{MXWMVDMXUT4IJ5QMWXIPQMWR3P}

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	2026-05-18T00:06:31.488221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ecca8d97a4f884f60cb5d0f832d1dbc868836ec7ec2b6e61688f2c1bed6169

Aliases

arxiv: 1809.01128 · arxiv_version: 1809.01128v1 · doi: 10.48550/arxiv.1809.01128 · pith_short_12: MXWMVDMXUT4I · pith_short_16: MXWMVDMXUT4IJ5QM · pith_short_8: MXWMVDMX

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/MXWMVDMXUT4IJ5QMWXIPQMWR3P \
  | 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: 65ecca8d97a4f884f60cb5d0f832d1dbc868836ec7ec2b6e61688f2c1bed6169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf339bb4958f787083598420e5324a07624dec1cba0873e69b109d65812e162f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-04T02:37:42Z",
    "title_canon_sha256": "c6e82044ff68f8daf98a912c8ae5258acd00b00fff6c141f92f80c21b76030ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01128",
    "kind": "arxiv",
    "version": 1
  }
}