Pith Number

pith:GZWQZES4

pith:2025:GZWQZES4XC4JPKNX5VBU55A3UL

not attested not anchored not stored refs pending

Finding Planted Cycles in a Random Graph

Colin Sandon, Dana Yang, Jiaming Xu, Julia Gaudio

arxiv:2511.04058 v2 · 2025-11-06 · math.ST · math.PR · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZWQZES4XC4JPKNX5VBU55A3UL}

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	2026-06-05T00:13:44.250430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366d0c925cb8b897a9b7ed434ef41ba2d7e5ef72dae0f6765770726deca0e020

Aliases

arxiv: 2511.04058 · arxiv_version: 2511.04058v2 · doi: 10.48550/arxiv.2511.04058 · pith_short_12: GZWQZES4XC4J · pith_short_16: GZWQZES4XC4JPKNX · pith_short_8: GZWQZES4

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/GZWQZES4XC4JPKNX5VBU55A3UL \
  | 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: 366d0c925cb8b897a9b7ed434ef41ba2d7e5ef72dae0f6765770726deca0e020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53961cf5ce337617923cc590839bcc713d940790e2ccfe70de867bde0b52ddca",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-11-06T04:57:48Z",
    "title_canon_sha256": "2a01fbb39253e1bc2ae3fb66ee966ecc033b16abcc89e4f33d3d0e69245d3d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.04058",
    "kind": "arxiv",
    "version": 2
  }
}