Pith Number

pith:D4HJW6HH

pith:2026:D4HJW6HH6U2GBZW6TBGGZOXO7G

not attested not anchored not stored refs pending

Graphical Analysis of Lifted Product Code Constructions

Kirsten D. Morris, Patricija \v{S}apokait\.e, Ragnar Freij-Hollanti

arxiv:2606.11987 v1 · 2026-06-10 · 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{D4HJW6HH6U2GBZW6TBGGZOXO7G}

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	2026-06-11T01:10:41.189761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f0e9b78e7f53460e6de984c6cbaeef99884c9a79fb9a1a35aa291a888e81128

Aliases

arxiv: 2606.11987 · arxiv_version: 2606.11987v1 · doi: 10.48550/arxiv.2606.11987 · pith_short_12: D4HJW6HH6U2G · pith_short_16: D4HJW6HH6U2GBZW6 · pith_short_8: D4HJW6HH

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/D4HJW6HH6U2GBZW6TBGGZOXO7G \
  | 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: 1f0e9b78e7f53460e6de984c6cbaeef99884c9a79fb9a1a35aa291a888e81128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1260ef5e6fe52d373fcb73b3dc507b28a987c9ea55b74055f5f7b2646e50d590",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-10T12:11:25Z",
    "title_canon_sha256": "dfc0a79afdc220ef30be0ed1ea33bf240efbdd4d333d617d336a6b9d2d0f26a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11987",
    "kind": "arxiv",
    "version": 1
  }
}