Pith Number

pith:YLC25U6Q

pith:2015:YLC25U6Q7G6CBKKPLGIAPHLHMD

not attested not anchored not stored refs pending

Sizes of the extremal girth 5 graphs of orders from 40 to 49

J\"orgen Backelin

arxiv:1511.08128 v1 · 2015-11-25 · 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{YLC25U6Q7G6CBKKPLGIAPHLHMD}

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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.

Cited by

1 paper in Pith

Improved lower bounds on the maximum size of graphs with girth 5

Receipt and verification

First computed	2026-05-18T01:26:01.672188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c5aed3d0f9bc20a94f5990079d6760f6bab95ca2ed95aac2db55e9582e9b94

Aliases

arxiv: 1511.08128 · arxiv_version: 1511.08128v1 · doi: 10.48550/arxiv.1511.08128 · pith_short_12: YLC25U6Q7G6C · pith_short_16: YLC25U6Q7G6CBKKP · pith_short_8: YLC25U6Q

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/YLC25U6Q7G6CBKKPLGIAPHLHMD \
  | 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: c2c5aed3d0f9bc20a94f5990079d6760f6bab95ca2ed95aac2db55e9582e9b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421565777d6afe62fc379030fd27776010ac02153dcdadb2a198a2099f813b2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-25T17:27:10Z",
    "title_canon_sha256": "b02103d38343a68329c6d69df0d9d7e4ec99f4b9fd79fab7227a5b9ccb133768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08128",
    "kind": "arxiv",
    "version": 1
  }
}