Pith. sign in
Pith Number

pith:PXQFKWYZ

pith:2021:PXQFKWYZOXR4X47W6KFIBCPOQI
not attested not anchored not stored refs pending

On cyclic algebraic-geometry codes

Gustavo Caba\~na, Mar\'ia Chara, Ricardo A. Podest\'a, Ricardo Toledano

arxiv:2106.08884 v1 · 2021-06-01 · math.AG · cs.IT · math.CO · math.IT · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PXQFKWYZOXR4X47W6KFIBCPOQI}

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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 2026-07-05T02:50:02.361270Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7de0555b1975e3cbf3f6f28a8089ee8233b0856959b24af19fc900c77ec23611

Aliases

arxiv: 2106.08884 · arxiv_version: 2106.08884v1 · doi: 10.48550/arxiv.2106.08884 · pith_short_12: PXQFKWYZOXR4 · pith_short_16: PXQFKWYZOXR4X47W · pith_short_8: PXQFKWYZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PXQFKWYZOXR4X47W6KFIBCPOQI \
  | 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: 7de0555b1975e3cbf3f6f28a8089ee8233b0856959b24af19fc900c77ec23611
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "03fafb61849e8c764ebbe515fae670b024df689280a8482e0dffbc64567b23da",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CO",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-06-01T15:12:45Z",
    "title_canon_sha256": "ba8a5d2d70ce73121d5b8059d862850886e259c2d65bd2bdf5f8cbbc5367f1d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08884",
    "kind": "arxiv",
    "version": 1
  }
}