Pith Number

pith:DZRZB7FH

pith:2015:DZRZB7FHSSCW45HXL6EQPQKAVH

not attested not anchored not stored refs pending

On the structure of categorical abstract elementary classes with amalgamation

Monica M. VanDieren, Sebastien Vasey

arxiv:1509.01488 v3 · 2015-09-04 · 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{DZRZB7FHSSCW45HXL6EQPQKAVH}

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	2026-05-18T01:20:29.351556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6390fca794856e74f75f8907c140a9ce401d5f2cdf54c810ff3cfada63fa9f

Aliases

arxiv: 1509.01488 · arxiv_version: 1509.01488v3 · doi: 10.48550/arxiv.1509.01488 · pith_short_12: DZRZB7FHSSCW · pith_short_16: DZRZB7FHSSCW45HX · pith_short_8: DZRZB7FH

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/DZRZB7FHSSCW45HXL6EQPQKAVH \
  | 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: 1e6390fca794856e74f75f8907c140a9ce401d5f2cdf54c810ff3cfada63fa9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad3e0df35fea9549a748dcc3964a8f561675a1760dd98ab7e2a1d82efe7b5cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-04T15:14:34Z",
    "title_canon_sha256": "cd68647c3afcbff3663ba83066ab0ec15da24bdb7e3cbebc997f129cd62024c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01488",
    "kind": "arxiv",
    "version": 3
  }
}