Pith Number

pith:O2NL2H2M

pith:2016:O2NL2H2MGBSTLIZZWDKCYBFIFB

not attested not anchored not stored refs pending

Counting independent sets in cubic graphs of given girth

Guillem Perarnau, Will Perkins

arxiv:1611.01474 v2 · 2016-11-04 · 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{O2NL2H2MGBSTLIZZWDKCYBFIFB}

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	2026-05-18T00:18:46.825777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

769abd1f4c306535a339b0d42c04a828716805207d71e1d1c88f27bdfb1239d4

Aliases

arxiv: 1611.01474 · arxiv_version: 1611.01474v2 · doi: 10.48550/arxiv.1611.01474 · pith_short_12: O2NL2H2MGBST · pith_short_16: O2NL2H2MGBSTLIZZ · pith_short_8: O2NL2H2M

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/O2NL2H2MGBSTLIZZWDKCYBFIFB \
  | 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: 769abd1f4c306535a339b0d42c04a828716805207d71e1d1c88f27bdfb1239d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c74b76f8f22ae73ccfa5d5888f1cc87eab1402277a39a183d09f90239f230e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-04T18:08:53Z",
    "title_canon_sha256": "f0347aa04511f21fd7ff3251c8033c3a7b5465b6fa4dc86b6a075ee137ff85ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01474",
    "kind": "arxiv",
    "version": 2
  }
}