Pith Number

pith:K7SJZ53O

pith:2011:K7SJZ53OETTQVI2ZAXUF6QYQBQ

not attested not anchored not stored refs pending

Topology of definable abelian groups in o-minimal structures

Alessandro Berarducci, Elias Baro

arxiv:1102.2494 v1 · 2011-02-12 · 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{K7SJZ53OETTQVI2ZAXUF6QYQBQ}

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	2026-05-18T02:58:01.197289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e49cf76e24e70aa35905e85f43100c32e803328e7e3c00b584799822a11571

Aliases

arxiv: 1102.2494 · arxiv_version: 1102.2494v1 · doi: 10.48550/arxiv.1102.2494 · pith_short_12: K7SJZ53OETTQ · pith_short_16: K7SJZ53OETTQVI2Z · pith_short_8: K7SJZ53O

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/K7SJZ53OETTQVI2ZAXUF6QYQBQ \
  | 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: 57e49cf76e24e70aa35905e85f43100c32e803328e7e3c00b584799822a11571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4beed8e856ec863bfb865838cf802cdacf4c9bbfad94e3d436042aa28df2d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-02-12T10:39:48Z",
    "title_canon_sha256": "c80d0d18e5bc705941ee63feb5824963bb79f9beb8f28f8292a4699743af120d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2494",
    "kind": "arxiv",
    "version": 1
  }
}