Pith Number

pith:MDMIWP3G

pith:2025:MDMIWP3GFLOUPOT4J556SD5YLC

not attested not anchored not stored refs pending

Structures preserved by primitive actions of $S_\omega$

Bertalan Bodor, Manuel Bodirsky

arxiv:2501.03789 v4 · 2025-01-07 · math.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDMIWP3GFLOUPOT4J556SD5YLC}

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	2026-06-09T02:08:28.112782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d88b3f662add47ba7c4f7be90fb8588e851e675e5783dae986e27372cf232b

Aliases

arxiv: 2501.03789 · arxiv_version: 2501.03789v4 · doi: 10.48550/arxiv.2501.03789 · pith_short_12: MDMIWP3GFLOU · pith_short_16: MDMIWP3GFLOUPOT4 · pith_short_8: MDMIWP3G

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/MDMIWP3GFLOUPOT4J556SD5YLC \
  | 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: 60d88b3f662add47ba7c4f7be90fb8588e851e675e5783dae986e27372cf232b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e7736b7c145c8c99185dead06d6b332e3d15765e3e29588594a072858f0408",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-01-07T13:54:04Z",
    "title_canon_sha256": "785a295a2b89baf6dfb266f29081caf5817e1c7db8bb30c2ec18cb3ce77b7566"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03789",
    "kind": "arxiv",
    "version": 4
  }
}