Pith Number

pith:Z5J62YAR

pith:2019:Z5J62YARKZBVKYSJC4ASTAFL2T

not attested not anchored not stored refs pending

On dual codes in the Doob schemes

Denis S. Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia)

arxiv:1902.00020 v1 · 2019-01-31 · cs.IT · cs.DM · math.CO · 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{Z5J62YARKZBVKYSJC4ASTAFL2T}

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	2026-05-17T23:55:01.566402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf53ed6011564355624917012980abd4e400a1f1ead8ff9cd9466e3d92bebdac

Aliases

arxiv: 1902.00020 · arxiv_version: 1902.00020v1 · doi: 10.48550/arxiv.1902.00020 · pith_short_12: Z5J62YARKZBV · pith_short_16: Z5J62YARKZBVKYSJ · pith_short_8: Z5J62YAR

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/Z5J62YARKZBVKYSJC4ASTAFL2T \
  | 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: cf53ed6011564355624917012980abd4e400a1f1ead8ff9cd9466e3d92bebdac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722bd129e8865d4a5b9c3f3d4cde357bb7fce8e4e766a5ecbb7cff4c986f1c8b",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-01-31T19:00:01Z",
    "title_canon_sha256": "f3f8344b8eed0d6a4d369941509875af5d50b032a1aeea21de9081e79f9aa3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00020",
    "kind": "arxiv",
    "version": 1
  }
}