Pith Number

pith:WID4RVKX

pith:2014:WID4RVKXGASGJIUQTJUBQDWBYU

not attested not anchored not stored refs pending

Embedding in $q$-ary $1$-perfect codes and partitions

Denis S. Krotov, Evgeniya V. Sotnikova

arxiv:1412.3795 v2 · 2014-12-11 · math.CO · cs.DM · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WID4RVKXGASGJIUQTJUBQDWBYU}

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	2026-05-18T01:55:52.856853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b207c8d557302464a2909a68180ec1c502080bdf6b6888507d0bb9a83cd876ca

Aliases

arxiv: 1412.3795 · arxiv_version: 1412.3795v2 · doi: 10.48550/arxiv.1412.3795 · pith_short_12: WID4RVKXGASG · pith_short_16: WID4RVKXGASGJIUQ · pith_short_8: WID4RVKX

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/WID4RVKXGASGJIUQTJUBQDWBYU \
  | 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: b207c8d557302464a2909a68180ec1c502080bdf6b6888507d0bb9a83cd876ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97d0c18b6e30787c20ca2e6632c45c6db1270de683d37e9637d34ecaa56e970",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-11T20:58:28Z",
    "title_canon_sha256": "dbfff8c4ff0967b07138eb1825c9cb35795c0bda1137dcbe80356cc4062bdcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3795",
    "kind": "arxiv",
    "version": 2
  }
}