Pith Number

pith:N3QRWQT3

pith:2025:N3QRWQT3MGKBCJVENKZSLRXBZL

not attested not anchored not stored refs pending

Symmetries in Sorting

Vikraman Choudhury, Wind Wong

arxiv:2512.07349 v2 · 2025-12-08 · cs.LO · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3QRWQT3MGKBCJVENKZSLRXBZL}

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	2026-06-02T02:04:49.407651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee11b427b61941126a46ab325c6e1cad4c415137b2ce0e5d94f11f761d12b8e

Aliases

arxiv: 2512.07349 · arxiv_version: 2512.07349v2 · doi: 10.48550/arxiv.2512.07349 · pith_short_12: N3QRWQT3MGKB · pith_short_16: N3QRWQT3MGKBCJVE · pith_short_8: N3QRWQT3

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/N3QRWQT3MGKBCJVENKZSLRXBZL \
  | 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: 6ee11b427b61941126a46ab325c6e1cad4c415137b2ce0e5d94f11f761d12b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb419980c79a13ed5da139bfbea23d42d392bf59abd8fd4a4ab97c3171240ed",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2025-12-08T09:41:47Z",
    "title_canon_sha256": "2a4ab979864cd7289ee6a6918bf20ba29997f5b9a3d51efb3d307ea387526afd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.07349",
    "kind": "arxiv",
    "version": 2
  }
}