Pith Number

pith:ESNGFYEV

pith:2012:ESNGFYEV4V7TFL5XIFLM4DSG76

not attested not anchored not stored refs pending

The weight Enumerator of some irreducible cyclic codes

Yun Song, Zhihui Li

arxiv:1202.2907 v3 · 2012-02-14 · cs.CR · 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{ESNGFYEV4V7TFL5XIFLM4DSG76}

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	2026-05-18T03:14:08.807843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249a62e095e57f32afb74156ce0e46ffa4bed23a5d873d1a4ed162477bbcf3f8

Aliases

arxiv: 1202.2907 · arxiv_version: 1202.2907v3 · doi: 10.48550/arxiv.1202.2907 · pith_short_12: ESNGFYEV4V7T · pith_short_16: ESNGFYEV4V7TFL5X · pith_short_8: ESNGFYEV

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/ESNGFYEV4V7TFL5XIFLM4DSG76 \
  | 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: 249a62e095e57f32afb74156ce0e46ffa4bed23a5d873d1a4ed162477bbcf3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339c352e16514053edf2725be64f768954f87b5761f6cba5e53bf8291c28ea4d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2012-02-14T01:42:20Z",
    "title_canon_sha256": "de5e160ae9dbdd559af0a182b155c5e97c9cf439c6b65b54d89c312705364a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2907",
    "kind": "arxiv",
    "version": 3
  }
}