Pith Number

pith:5ZS46MTK

pith:2015:5ZS46MTK3CDZ3LG6MHBB5IN62P

not attested not anchored not stored refs pending

Computing girth and cogirth in perturbed graphic matroids

Jim Geelen, Rohan Kapadia

arxiv:1504.07647 v2 · 2015-04-28 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZS46MTK3CDZ3LG6MHBB5IN62P}

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	2026-05-18T01:30:15.174881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee65cf326ad8879dacde61c21ea1bed3e69ff7bf8156e1d1aa188b513661893e

Aliases

arxiv: 1504.07647 · arxiv_version: 1504.07647v2 · doi: 10.48550/arxiv.1504.07647 · pith_short_12: 5ZS46MTK3CDZ · pith_short_16: 5ZS46MTK3CDZ3LG6 · pith_short_8: 5ZS46MTK

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/5ZS46MTK3CDZ3LG6MHBB5IN62P \
  | 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: ee65cf326ad8879dacde61c21ea1bed3e69ff7bf8156e1d1aa188b513661893e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910266f442f22385f336277fa1a27390dfd85c87c76a4dc4eac9960708033bb7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-28T20:20:21Z",
    "title_canon_sha256": "ce7cdf2085f2b60582e6ff4afe6628d87883696fa876086df8bbf9d4e392d056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07647",
    "kind": "arxiv",
    "version": 2
  }
}