Pith Number

pith:45462T4N

pith:2025:45462T4NKYTFCBIGH7IKDFEVUU

not attested not anchored not stored refs pending

Let's Have Both! Optimal List-Recoverability via Alphabet Permutation Codes

Jonathan Mosheiff, Sergey Komech

arxiv:2502.05858 v2 · 2025-02-09 · 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{45462T4NKYTFCBIGH7IKDFEVUU}

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	2026-07-05T11:00:25.922159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e779ed4f8d56265105063fd0a19495a53b47712157efb40b2ba9c7125b1720d5

Aliases

arxiv: 2502.05858 · arxiv_version: 2502.05858v2 · doi: 10.48550/arxiv.2502.05858 · pith_short_12: 45462T4NKYTF · pith_short_16: 45462T4NKYTFCBIG · pith_short_8: 45462T4N

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/45462T4NKYTFCBIGH7IKDFEVUU \
  | 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: e779ed4f8d56265105063fd0a19495a53b47712157efb40b2ba9c7125b1720d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a690f59360aa2df4a654d0234409cdeb89521093278c9a0b32e0925435ec955",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-02-09T11:34:54Z",
    "title_canon_sha256": "edd31a68d9c0f6060196b33ae059ec72c31490667944bc9416b8ca0cdbce2bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.05858",
    "kind": "arxiv",
    "version": 2
  }
}