Pith Number

pith:E27VUDWM

pith:2024:E27VUDWMMT4IVA5CMHBUZKHFF6

not attested not anchored not stored refs pending

Some bounds on the cardinality of the $b$-symbol weight spectrum of codes

Hongwei Zhu, Minjia Shi, Patrick Sole, Shitao Li, Shu-Tao Xia

arxiv:2404.02471 v1 · 2024-04-03 · 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{E27VUDWMMT4IVA5CMHBUZKHFF6}

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	2026-07-05T08:03:56.963053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26bf5a0ecc64f88a83a261c34ca8e52f92c24d07a74c3d7233b5cbc74b8cccaa

Aliases

arxiv: 2404.02471 · arxiv_version: 2404.02471v1 · doi: 10.48550/arxiv.2404.02471 · pith_short_12: E27VUDWMMT4I · pith_short_16: E27VUDWMMT4IVA5C · pith_short_8: E27VUDWM

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/E27VUDWMMT4IVA5CMHBUZKHFF6 \
  | 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: 26bf5a0ecc64f88a83a261c34ca8e52f92c24d07a74c3d7233b5cbc74b8cccaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377967a6f385a92228b85c11fdb65fe4c3fff359bcc92dc1e531d31c899973f0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-04-03T05:20:23Z",
    "title_canon_sha256": "88153fd7662b8c3748c8a26a6b47521d579f84054815269e7a02ab4a6432aed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02471",
    "kind": "arxiv",
    "version": 1
  }
}