Pith Number

pith:XCCAXZ47

pith:2013:XCCAXZ477JW35H5TPPN2XWEDDP

not attested not anchored not stored refs pending

On extremal self-dual codes of length 120

J. de la Cruz

arxiv:1302.0033 v1 · 2013-01-31 · 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{XCCAXZ477JW35H5TPPN2XWEDDP}

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	2026-05-18T03:34:47.698123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8840be79ffa6dbe9fb37bdbabd8831be126213b723119a6b884bde23f47036b

Aliases

arxiv: 1302.0033 · arxiv_version: 1302.0033v1 · doi: 10.48550/arxiv.1302.0033 · pith_short_12: XCCAXZ477JW3 · pith_short_16: XCCAXZ477JW35H5T · pith_short_8: XCCAXZ47

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/XCCAXZ477JW35H5TPPN2XWEDDP \
  | 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: b8840be79ffa6dbe9fb37bdbabd8831be126213b723119a6b884bde23f47036b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6c642e6539432b8ea24e4b8602d8bb381d4c55ef5b50ecab51370606883718",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-31T23:02:36Z",
    "title_canon_sha256": "39c0c8ed3370d52b220021af2ac4d4a7280c6ce819e1624447798a960eebff02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0033",
    "kind": "arxiv",
    "version": 1
  }
}