Pith Number

pith:64JDJXTK

pith:2025:64JDJXTKZOMTP5HI63VXWPZ4FC

not attested not anchored not stored refs pending

Notions of rank and independence in countably categorical theories

Vera Koponen

arxiv:2511.06113 v2 · 2025-11-08 · 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{64JDJXTKZOMTP5HI63VXWPZ4FC}

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	2026-05-28T01:04:32.508403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71234de6acb9937f4e8f6eb7b3f3c28827d6129f7837c7c8c75f3986f0f9dd7

Aliases

arxiv: 2511.06113 · arxiv_version: 2511.06113v2 · doi: 10.48550/arxiv.2511.06113 · pith_short_12: 64JDJXTKZOMT · pith_short_16: 64JDJXTKZOMTP5HI · pith_short_8: 64JDJXTK

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/64JDJXTKZOMTP5HI63VXWPZ4FC \
  | 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: f71234de6acb9937f4e8f6eb7b3f3c28827d6129f7837c7c8c75f3986f0f9dd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44680ccf8b338159e32cb2bd64b6833c5ab5fc22f903b513db6ec2e762eee6fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-11-08T19:39:18Z",
    "title_canon_sha256": "6538096b2c966ede74ab9a5b04d5ea60ed4be5cc2d6c569d0478b47bfc3e87e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06113",
    "kind": "arxiv",
    "version": 2
  }
}