Pith Number

pith:KXYA3KIW

pith:2012:KXYA3KIWDZWPHLEEZKVDRPFASD

not attested not anchored not stored refs pending

Resolving sets for Johnson and Kneser graphs

Alberto M\'arquez, Antonio Gonz\'alez, Delia Garijo, Jos\'e C\'aceres, Karen Meagher, Mar\'ia Luz Puertas, Robert F. Bailey

arxiv:1203.2660 v2 · 2012-03-12 · 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{KXYA3KIWDZWPHLEEZKVDRPFASD}

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	2026-05-18T02:59:48.428303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f00da9161e6cf3ac84caaa38bca090c4e4d7faef752529dc651f2ae34e6772

Aliases

arxiv: 1203.2660 · arxiv_version: 1203.2660v2 · doi: 10.48550/arxiv.1203.2660 · pith_short_12: KXYA3KIWDZWP · pith_short_16: KXYA3KIWDZWPHLEE · pith_short_8: KXYA3KIW

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/KXYA3KIWDZWPHLEEZKVDRPFASD \
  | 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: 55f00da9161e6cf3ac84caaa38bca090c4e4d7faef752529dc651f2ae34e6772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ae726a762862aa855ad239e54d503b55310b5ae1a57df1e526707b19675372",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-12T21:34:04Z",
    "title_canon_sha256": "38950a9842d6c72212080a2794acca466274bc23ac7c45ac742523b89f6c9b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2660",
    "kind": "arxiv",
    "version": 2
  }
}