Pith Number

pith:TY7PWTWN

pith:2015:TY7PWTWNGH5L5RBKTJZJE3VZFU

not attested not anchored not stored refs pending

The Joint Embedding Property and Maximal Models

Ioannis Souldatos, John T. Baldwin, Martin Koerwien

arxiv:1501.07316 v2 · 2015-01-29 · 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{TY7PWTWNGH5L5RBKTJZJE3VZFU}

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	2026-05-18T02:26:45.991963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3efb4ecd31fabec42a9a72926eb92d33171bec5c75e3b017b20e2a2967d047

Aliases

arxiv: 1501.07316 · arxiv_version: 1501.07316v2 · doi: 10.48550/arxiv.1501.07316 · pith_short_12: TY7PWTWNGH5L · pith_short_16: TY7PWTWNGH5L5RBK · pith_short_8: TY7PWTWN

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/TY7PWTWNGH5L5RBKTJZJE3VZFU \
  | 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: 9e3efb4ecd31fabec42a9a72926eb92d33171bec5c75e3b017b20e2a2967d047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42887090468804c5647a0cb1c1e9e5f8b9e4110600754f7a872cee1867eb1ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-29T00:39:06Z",
    "title_canon_sha256": "24def1329a92f63015aa7f37a02b8bc2d2fa0d7b3a2ba88d1200d0e6a8f3d02b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07316",
    "kind": "arxiv",
    "version": 2
  }
}