Pith Number

pith:KWSLYMNP

pith:2016:KWSLYMNP53T5TR7CEB4UHXJW4C

not attested not anchored not stored refs pending

Endomorphisms of The Hamming Graph and Related Graphs

Artur Schaefer

arxiv:1602.02186 v1 · 2016-02-05 · 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{KWSLYMNP53T5TR7CEB4UHXJW4C}

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	2026-05-18T01:21:10.711224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55a4bc31afeee7d9c7e2207943dd36e0ad135429f58d3557e51b95f80b3dc100

Aliases

arxiv: 1602.02186 · arxiv_version: 1602.02186v1 · doi: 10.48550/arxiv.1602.02186 · pith_short_12: KWSLYMNP53T5 · pith_short_16: KWSLYMNP53T5TR7C · pith_short_8: KWSLYMNP

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/KWSLYMNP53T5TR7CEB4UHXJW4C \
  | 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: 55a4bc31afeee7d9c7e2207943dd36e0ad135429f58d3557e51b95f80b3dc100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a245d9b36c77dabe44b619687ffc14dd290b23313c705f14cd0e33779894f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T23:12:13Z",
    "title_canon_sha256": "439532018e922f72c4aa5ced5a2f4db033a141ea3d0d5b01b987436c4acd7b79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02186",
    "kind": "arxiv",
    "version": 1
  }
}