Pith Number

pith:LA65BR2Y

pith:2017:LA65BR2YFWARQVRVJTZCTPETVK

not attested not anchored not stored refs pending

On short cycle enumeration in biregular bipartite graphs

Ian Blake, Shu Lin

arxiv:1701.02292 v2 · 2017-01-09 · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA65BR2YFWARQVRVJTZCTPETVK}

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	2026-05-18T00:37:48.072866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583dd0c7582d811856354cf229bc93aa9aefe9cc732c9f92dd8b11b69fb5fd06

Aliases

arxiv: 1701.02292 · arxiv_version: 1701.02292v2 · doi: 10.48550/arxiv.1701.02292 · pith_short_12: LA65BR2YFWAR · pith_short_16: LA65BR2YFWARQVRV · pith_short_8: LA65BR2Y

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/LA65BR2YFWARQVRVJTZCTPETVK \
  | 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: 583dd0c7582d811856354cf229bc93aa9aefe9cc732c9f92dd8b11b69fb5fd06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed11887c88a96857ddc056a11603e7f15646fd653598592c369ddc626e043c73",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-09T18:29:36Z",
    "title_canon_sha256": "695f7266a695c412e91e11ac1dd87b5165d13c11c081f2cecfb00ac6fee1a210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02292",
    "kind": "arxiv",
    "version": 2
  }
}