Pith Number

pith:4T52MRIM

pith:2012:4T52MRIMBGUINUTOUTPFUDVBJO

not attested not anchored not stored refs pending

On automorphisms groups of structures of countable cofinality

Ioannis Souldatos

arxiv:1211.7145 v3 · 2012-11-30 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T52MRIMBGUINUTOUTPFUDVBJO}

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	2026-05-18T01:55:58.437708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fba6450c09a886d26ea4de5a0ea14b8267fe64168bfc5ab9f03cae00fe3f26

Aliases

arxiv: 1211.7145 · arxiv_version: 1211.7145v3 · doi: 10.48550/arxiv.1211.7145 · pith_short_12: 4T52MRIMBGUI · pith_short_16: 4T52MRIMBGUINUTO · pith_short_8: 4T52MRIM

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/4T52MRIMBGUINUTOUTPFUDVBJO \
  | 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: e4fba6450c09a886d26ea4de5a0ea14b8267fe64168bfc5ab9f03cae00fe3f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb713790b9da3c6eeb6c74b08ec241e6fdb747b465ecf2b9e7c4007ac82d9d45",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-11-30T03:12:45Z",
    "title_canon_sha256": "58593bf293cf9114ca6281ad0aae7c051abcfc75cc51aa3bd08d10aa1bd51769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7145",
    "kind": "arxiv",
    "version": 3
  }
}