Pith Number

pith:GTMJGGIX

pith:2015:GTMJGGIXELSNTOOZYOWD7NLNVU

not attested not anchored not stored refs pending

Partial permutation decoding for binary linear and Z4-linear Hadamard codes

Merc\`e Villanueva, Roland D. Barrolleta

arxiv:1512.01839 v2 · 2015-12-06 · cs.IT · cs.DM · 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{GTMJGGIXELSNTOOZYOWD7NLNVU}

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	2026-05-18T01:15:57.829344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d893191722e4d9b9d9c3ac3fb56dad243f5886cd7dd1208d3bbb41410f28c4

Aliases

arxiv: 1512.01839 · arxiv_version: 1512.01839v2 · doi: 10.48550/arxiv.1512.01839 · pith_short_12: GTMJGGIXELSN · pith_short_16: GTMJGGIXELSNTOOZ · pith_short_8: GTMJGGIX

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/GTMJGGIXELSNTOOZYOWD7NLNVU \
  | 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: 34d893191722e4d9b9d9c3ac3fb56dad243f5886cd7dd1208d3bbb41410f28c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144580d4c475da4aaa4bfb530a21253aa5979b24f7d4a637753b60a61f528e9f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-06T21:43:56Z",
    "title_canon_sha256": "41c4b10478bb2e3e90c8f589c55aa1eae1a6d4a57dc7d3cf6d3450440d21191f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01839",
    "kind": "arxiv",
    "version": 2
  }
}