Pith Number

pith:ILEPSWVW

pith:2005:ILEPSWVWYZRAU3F2ALNNKDZ6CC

not attested not anchored not stored refs pending

Uniqueness of Limit Models in Classes with Amalgamation

(2) Robert Morris University, (3) Universidad Nacional de Colombia), A. Villaveces (3) ((1) Carnegie Mellon University, M. VanDieren (2), R. Grossberg (1)

arxiv:math/0509338 v3 · 2005-09-15 · 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{ILEPSWVWYZRAU3F2ALNNKDZ6CC}

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	2026-05-18T02:27:50.212847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42c8f95ab6c6620a6cba02dad50f3e10b6c5118ef34ee8581e214e70336addf5

Aliases

arxiv: math/0509338 · arxiv_version: math/0509338v3 · doi: 10.48550/arxiv.math/0509338 · pith_short_12: ILEPSWVWYZRA · pith_short_16: ILEPSWVWYZRAU3F2 · pith_short_8: ILEPSWVW

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/ILEPSWVWYZRAU3F2ALNNKDZ6CC \
  | 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: 42c8f95ab6c6620a6cba02dad50f3e10b6c5118ef34ee8581e214e70336addf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfc395df26a0de5c8e03ffc52527f4c75e0033a665e4f2c0d7120b59fef0f547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2005-09-15T03:53:31Z",
    "title_canon_sha256": "3a5b8cfd831615f057b73153a633b31789d47a487f2bdd6e20d668ab358391dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509338",
    "kind": "arxiv",
    "version": 3
  }
}