Pith Number

pith:DZPUVFIH

pith:2015:DZPUVFIH5RDJ5YHLXGML64BSIM

not attested not anchored not stored refs pending

A note on the transversal size of a series of families constructed over Cycle Graph

Kaushik Majumder, Satyaki Mukherjee

arxiv:1501.02178 v1 · 2015-01-09 · 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{DZPUVFIH5RDJ5YHLXGML64BSIM}

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	2026-05-18T02:29:44.697111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5f4a9507ec469ee0ebb998bf703243190c49a37421e434fee9939b21007798

Aliases

arxiv: 1501.02178 · arxiv_version: 1501.02178v1 · doi: 10.48550/arxiv.1501.02178 · pith_short_12: DZPUVFIH5RDJ · pith_short_16: DZPUVFIH5RDJ5YHL · pith_short_8: DZPUVFIH

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/DZPUVFIH5RDJ5YHLXGML64BSIM \
  | 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: 1e5f4a9507ec469ee0ebb998bf703243190c49a37421e434fee9939b21007798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c32f1f40866d57c4d3c4d945bc825f24ff223566d587ab4433f6726e6489868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-09T15:35:01Z",
    "title_canon_sha256": "b2752bb0f73baa9b488c22164903829a681c150c51e3510ada3ea12ebc9f0c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02178",
    "kind": "arxiv",
    "version": 1
  }
}