Pith Number

pith:CSZPPLZT

pith:2013:CSZPPLZTX5ZEFWIZCUKQO6P7X6

not attested not anchored not stored refs pending

Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups

Ita\"i Ben Yaacov (ICJ), Todor Tsankov (IMJ)

arxiv:1312.7757 v3 · 2013-12-30 · 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{CSZPPLZTX5ZEFWIZCUKQO6P7X6}

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	2026-05-18T01:23:58.974396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b2f7af33bf7242d91915150779ffbfb163b18c73abff1fdace890f39657ffa

Aliases

arxiv: 1312.7757 · arxiv_version: 1312.7757v3 · doi: 10.48550/arxiv.1312.7757 · pith_short_12: CSZPPLZTX5ZE · pith_short_16: CSZPPLZTX5ZEFWIZ · pith_short_8: CSZPPLZT

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/CSZPPLZTX5ZEFWIZCUKQO6P7X6 \
  | 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: 14b2f7af33bf7242d91915150779ffbfb163b18c73abff1fdace890f39657ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f744dbd9a427e5b7401ebeb9e529cf6bc126af8f78863c899c4deaf74818f52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-30T16:06:18Z",
    "title_canon_sha256": "75c77a681acb2e19ca83faca7847a1a1de6693945c8589333e75333c0e1bb4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7757",
    "kind": "arxiv",
    "version": 3
  }
}