Pith Number

pith:4YKGFMKO

pith:2024:4YKGFMKOHZJQRJ7EDKZHWSOCIO

not attested not anchored not stored refs pending

Effectiveness and strong graph indivisibility

Andrea Volpi, Damir D. Dzhafarov, Reed Solomon

arxiv:2411.16950 v1 · 2024-11-25 · 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{4YKGFMKOHZJQRJ7EDKZHWSOCIO}

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	2026-07-05T09:40:25.082215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61462b14e3e5308a7e41ab27b49c243b52cc14d3a850eb7ff0ec7a317df4103

Aliases

arxiv: 2411.16950 · arxiv_version: 2411.16950v1 · doi: 10.48550/arxiv.2411.16950 · pith_short_12: 4YKGFMKOHZJQ · pith_short_16: 4YKGFMKOHZJQRJ7E · pith_short_8: 4YKGFMKO

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/4YKGFMKOHZJQRJ7EDKZHWSOCIO \
  | 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: e61462b14e3e5308a7e41ab27b49c243b52cc14d3a850eb7ff0ec7a317df4103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0663cf1909d9d253bdb5138d32b4de0bc759f6db76177fd7935217bbe3819a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-11-25T21:42:26Z",
    "title_canon_sha256": "e93f306cbcfca370fbc17412cc4b1aac076b68fe1f5bf2cfb8fb29be73af72af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16950",
    "kind": "arxiv",
    "version": 1
  }
}