Pith Number

pith:FUMDUST3

pith:2025:FUMDUST3YG6RXNKJIL42QGLPI6

not attested not anchored not stored refs pending

MacWilliams Theory over Zk and nu-functions over Lattices

Fengxia Liu, Kun Tian, Zhiyong Zheng

arxiv:2504.17589 v1 · 2025-04-24 · 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{FUMDUST3YG6RXNKJIL42QGLPI6}

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	2026-07-05T10:53:31.792202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d183a4a7bc1bd1bb54942f9a8196f47860b51b7fc2c24af8ad9bcf9216c3b66

Aliases

arxiv: 2504.17589 · arxiv_version: 2504.17589v1 · doi: 10.48550/arxiv.2504.17589 · pith_short_12: FUMDUST3YG6R · pith_short_16: FUMDUST3YG6RXNKJ · pith_short_8: FUMDUST3

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/FUMDUST3YG6RXNKJIL42QGLPI6 \
  | 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: 2d183a4a7bc1bd1bb54942f9a8196f47860b51b7fc2c24af8ad9bcf9216c3b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a186b9617825088b21ee4738b230cc6b4951479d4b6638533b799ac02a2971c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-04-24T14:19:51Z",
    "title_canon_sha256": "2142a5209b1b6c13afd9aa64f58fdda4281aa7c93174ead6a8b2a0be515b3e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17589",
    "kind": "arxiv",
    "version": 1
  }
}