Pith Number

pith:ULNCWW5Q

pith:2011:ULNCWW5Q7CMY2YCEGZTK2EDIKI

not attested not anchored not stored refs pending

Families of twisted tensor product codes

Luca Giuzzi, Valentina Pepe

arxiv:1107.1066 v1 · 2011-07-06 · math.CO · 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{ULNCWW5Q7CMY2YCEGZTK2EDIKI}

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	2026-05-18T03:29:27.922044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2da2b5bb0f8998d60443666ad106852222cf51837635cc99721acf8913728ef

Aliases

arxiv: 1107.1066 · arxiv_version: 1107.1066v1 · doi: 10.48550/arxiv.1107.1066 · pith_short_12: ULNCWW5Q7CMY · pith_short_16: ULNCWW5Q7CMY2YCE · pith_short_8: ULNCWW5Q

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/ULNCWW5Q7CMY2YCEGZTK2EDIKI \
  | 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: a2da2b5bb0f8998d60443666ad106852222cf51837635cc99721acf8913728ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5bb65ba1f2cba0d70db16a78eb4867b31a45bf69527f3b32b87c4d93611aa1d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-06T09:15:57Z",
    "title_canon_sha256": "bbf3cbf1c4c96e216bf66ba732709cab2a6a024a32e26d76b6d110672ed16596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1066",
    "kind": "arxiv",
    "version": 1
  }
}