Pith Number

pith:PCYYK2F4

pith:2014:PCYYK2F4CPNQ7FO2QAV5C6EOE4

not attested not anchored not stored refs pending

Relative generalized Hamming weights of one-point algebraic geometric codes

Diego Ruano, Olav Geil, Ryutaroh Matsumoto, Stefano Martin, Yuan Luo

arxiv:1403.7985 v3 · 2014-03-31 · cs.IT · math.AG · 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{PCYYK2F4CPNQ7FO2QAV5C6EOE4}

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	2026-05-18T02:28:05.347823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b18568bc13db0f95da802bd1788e2715fb3cc434d121533725bade31ce8139

Aliases

arxiv: 1403.7985 · arxiv_version: 1403.7985v3 · doi: 10.48550/arxiv.1403.7985 · pith_short_12: PCYYK2F4CPNQ · pith_short_16: PCYYK2F4CPNQ7FO2 · pith_short_8: PCYYK2F4

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/PCYYK2F4CPNQ7FO2QAV5C6EOE4 \
  | 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: 78b18568bc13db0f95da802bd1788e2715fb3cc434d121533725bade31ce8139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8342a53ea65355d697a3c4bff274ef44e09be640d05a58f59f051757c4f29211",
    "cross_cats_sorted": [
      "math.AG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-03-31T13:12:59Z",
    "title_canon_sha256": "2e0ad80f73ca6d208997a96075e6d0df7dab75b9a64b703f8e9119df6474573b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7985",
    "kind": "arxiv",
    "version": 3
  }
}