Pith Number

pith:3ZBFSXAZ

pith:2007:3ZBFSXAZQN4YF64K54XIV63CO5

not attested not anchored not stored refs pending

Computing Extensions of Linear Codes

Markus Grassl

arxiv:0704.2596 v1 · 2007-04-19 · 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{3ZBFSXAZQN4YF64K54XIV63CO5}

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	2026-05-18T04:25:28.940376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de42595c19837982fb8aef2e8afb627762d8ea2df15836b7878ff23321812a20

Aliases

arxiv: 0704.2596 · arxiv_version: 0704.2596v1 · doi: 10.48550/arxiv.0704.2596 · pith_short_12: 3ZBFSXAZQN4Y · pith_short_16: 3ZBFSXAZQN4YF64K · pith_short_8: 3ZBFSXAZ

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/3ZBFSXAZQN4YF64K54XIV63CO5 \
  | 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: de42595c19837982fb8aef2e8afb627762d8ea2df15836b7878ff23321812a20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ddc343737538ee28e7e0f3dc13c5492f3956620057c114bd6a671f69d148fc3",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-04-19T19:28:33Z",
    "title_canon_sha256": "2f5b4096dd0a7889696fb006a52e808bf9b02be3022c1456f549f2e068e0cd2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2596",
    "kind": "arxiv",
    "version": 1
  }
}