Pith Number

pith:3Z6P2ZLR

pith:2023:3Z6P2ZLRMKH4OYI6BPMXOGBB64

not attested not anchored not stored refs pending

Multispreads

Denis S. Krotov, Ivan Yu. Mogilnykh

arxiv:2312.07883 v4 · 2023-12-13 · 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{3Z6P2ZLRMKH4OYI6BPMXOGBB64}

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.

Cited by

2 papers in Pith

Optimal additive quaternary codes of dimension $3.5$ and $4$

Additive codes attaining the Griesmer bound

Receipt and verification

First computed	2026-07-05T11:28:09.407594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7cfd6571628fc7611e0bd9771821f705c2b3f615479b6904de338cc5ec7918

Aliases

arxiv: 2312.07883 · arxiv_version: 2312.07883v4 · doi: 10.48550/arxiv.2312.07883 · pith_short_12: 3Z6P2ZLRMKH4 · pith_short_16: 3Z6P2ZLRMKH4OYI6 · pith_short_8: 3Z6P2ZLR

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/3Z6P2ZLRMKH4OYI6BPMXOGBB64 \
  | 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: de7cfd6571628fc7611e0bd9771821f705c2b3f615479b6904de338cc5ec7918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd65100bc87e3173d8728c1d6168f13ba7e4bc1b3038838ca161fb5d44cbc955",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-12-13T04:00:37Z",
    "title_canon_sha256": "a21f1e818bfcc8b44ec7cbce088f2c0a678646bf69af124ebfa6a655f61bd45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07883",
    "kind": "arxiv",
    "version": 4
  }
}