Pith Number

pith:PLTDM5YW

pith:2011:PLTDM5YWRRUKYTHY3MTRA3YLVJ

not attested not anchored not stored refs pending

On the theta number of powers of cycle graphs

Alain Thi\'ery (IMB), Arnaud P\^echer (INRIA Bordeaux - Sud-Ouest, Christine Bachoc (IMB), LaBRI)

arxiv:1103.0444 v1 · 2011-03-02 · 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{PLTDM5YWRRUKYTHY3MTRA3YLVJ}

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	2026-05-18T04:10:12.387335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae63677168c68ac4cf8db27106f0baa48eebd6acee024fb8c4b345997aab151

Aliases

arxiv: 1103.0444 · arxiv_version: 1103.0444v1 · doi: 10.48550/arxiv.1103.0444 · pith_short_12: PLTDM5YWRRUK · pith_short_16: PLTDM5YWRRUKYTHY · pith_short_8: PLTDM5YW

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/PLTDM5YWRRUKYTHY3MTRA3YLVJ \
  | 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: 7ae63677168c68ac4cf8db27106f0baa48eebd6acee024fb8c4b345997aab151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b42857205d90cd8cc45712462b773896e70a99160fed840743980bfa74bd481",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-02T14:45:54Z",
    "title_canon_sha256": "7274f749e05030266529905b0db21955b6319fb0e687a8bf99fc6d8e0301532f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0444",
    "kind": "arxiv",
    "version": 1
  }
}