Pith Number

pith:BZIU2S7B

pith:2015:BZIU2S7BMWBOBDOGPLTOWC7DRN

not attested not anchored not stored refs pending

Symmetry in abstract elementary classes with amalgamation

Monica M. VanDieren, Sebastien Vasey

arxiv:1508.03252 v4 · 2015-08-13 · 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{BZIU2S7BMWBOBDOGPLTOWC7DRN}

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	2026-05-18T00:46:32.191288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e514d4be16582e08dc67ae6eb0be38b4d5a41f3cab792f3ddbafc50b7c79436

Aliases

arxiv: 1508.03252 · arxiv_version: 1508.03252v4 · doi: 10.48550/arxiv.1508.03252 · pith_short_12: BZIU2S7BMWBO · pith_short_16: BZIU2S7BMWBOBDOG · pith_short_8: BZIU2S7B

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/BZIU2S7BMWBOBDOGPLTOWC7DRN \
  | 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: 0e514d4be16582e08dc67ae6eb0be38b4d5a41f3cab792f3ddbafc50b7c79436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdedb8256c8f51d1b1795f5e3004439a2f6c248fcbe2ecadf0527019168b24ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-13T15:42:39Z",
    "title_canon_sha256": "ed5ede08cdd3c87661c37b4c2817e7ee6f9cf19a515425cd530d272f988519aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03252",
    "kind": "arxiv",
    "version": 4
  }
}