Pith Number

pith:PKO4AIIO

pith:2017:PKO4AIIOCSC4F2PY3ESCAT6PP4

not attested not anchored not stored refs pending

Multipermutation Ulam Sphere Analysis Toward Characterizing Maximal Code Size

Justin Kong, Manabu Hagiwara

arxiv:1701.03896 v1 · 2017-01-14 · cs.IT · math.CO · 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{PKO4AIIOCSC4F2PY3ESCAT6PP4}

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	2026-05-18T00:52:48.567516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a9dc0210e1485c2e9f8d924204fcf7f2e6c83d39c8929c434aee503adb8ff37

Aliases

arxiv: 1701.03896 · arxiv_version: 1701.03896v1 · doi: 10.48550/arxiv.1701.03896 · pith_short_12: PKO4AIIOCSC4 · pith_short_16: PKO4AIIOCSC4F2PY · pith_short_8: PKO4AIIO

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/PKO4AIIOCSC4F2PY3ESCAT6PP4 \
  | 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: 7a9dc0210e1485c2e9f8d924204fcf7f2e6c83d39c8929c434aee503adb8ff37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b015b2efefb4fbb44af2f93fa3d95b516926d1b7be923005e60131c8b843c4b",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-14T10:02:47Z",
    "title_canon_sha256": "7195baba521d24d89d7ebf5bd32ba46be944a433b1d16fb23347a58c520e4458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03896",
    "kind": "arxiv",
    "version": 1
  }
}