Pith Number

pith:PI7DYQ5R

pith:2011:PI7DYQ5RTK4L3Z37XEMVOBBNTK

not attested not anchored not stored refs pending

Classification of nonorientable regular embeddings of Hamming graphs

Gareth A. Jones, Young Soo Kwon

arxiv:1107.3187 v1 · 2011-07-16 · 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{PI7DYQ5RTK4L3Z37XEMVOBBNTK}

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	2026-05-18T04:18:03.717864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3e3c43b19ab8bde77fb91957042d9aa8fac800b94cb403cd63db8bd8080b3c

Aliases

arxiv: 1107.3187 · arxiv_version: 1107.3187v1 · doi: 10.48550/arxiv.1107.3187 · pith_short_12: PI7DYQ5RTK4L · pith_short_16: PI7DYQ5RTK4L3Z37 · pith_short_8: PI7DYQ5R

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/PI7DYQ5RTK4L3Z37XEMVOBBNTK \
  | 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: 7a3e3c43b19ab8bde77fb91957042d9aa8fac800b94cb403cd63db8bd8080b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d676da06b1eee760145a147ba0d905d98c36297518e15e806171023ac662286",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-16T00:33:48Z",
    "title_canon_sha256": "42b35aff648ef7b52da847113e473f2e8cac49a81b18e059845eef2f30359992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3187",
    "kind": "arxiv",
    "version": 1
  }
}