Pith Number

pith:ACR6RZYR

pith:2003:ACR6RZYRHWTQHZNKRIGPFK57AS

not attested not anchored not stored refs pending

Modular and p-adic cyclic codes

A. R. Calderbank, N. J. A. Sloane

arxiv:math/0311319 v1 · 2003-11-18 · math.CO · 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{ACR6RZYRHWTQHZNKRIGPFK57AS}

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	2026-07-04T15:03:02.846987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00a3e8e7113da703e5aa8a0cf2abbf04926c0ea62edffc09f150389fce96dd59

Aliases

arxiv: math/0311319 · arxiv_version: math/0311319v1 · doi: 10.48550/arxiv.math/0311319 · pith_short_12: ACR6RZYRHWTQ · pith_short_16: ACR6RZYRHWTQHZNK · pith_short_8: ACR6RZYR

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/ACR6RZYRHWTQHZNKRIGPFK57AS \
  | 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: 00a3e8e7113da703e5aa8a0cf2abbf04926c0ea62edffc09f150389fce96dd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c959466015a1b6b53ee811f1f4633705e012af658c0b680e3928c8dc15fc478",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-11-18T21:35:21Z",
    "title_canon_sha256": "259ab5d1a1101d4d067ce1b43c71405d48410981be4efc3265c7e866b084f903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311319",
    "kind": "arxiv",
    "version": 1
  }
}