Pith Number

pith:Y6Z7QPYM

pith:2017:Y6Z7QPYM2GNTNIOXYRYUZ5PL6V

not attested not anchored not stored refs pending

Definably compact groups definable in real closed fields.II

Eliana Barriga

arxiv:1705.07370 v1 · 2017-05-21 · 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{Y6Z7QPYM2GNTNIOXYRYUZ5PL6V}

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	2026-05-18T00:44:05.791635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b3f83f0cd19b36a1d7c4714cf5ebf5617f2462ab1bc17c4d93de4b6e7a5e15

Aliases

arxiv: 1705.07370 · arxiv_version: 1705.07370v1 · doi: 10.48550/arxiv.1705.07370 · pith_short_12: Y6Z7QPYM2GNT · pith_short_16: Y6Z7QPYM2GNTNIOX · pith_short_8: Y6Z7QPYM

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/Y6Z7QPYM2GNTNIOXYRYUZ5PL6V \
  | 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: c7b3f83f0cd19b36a1d7c4714cf5ebf5617f2462ab1bc17c4d93de4b6e7a5e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafbf5a8a17dbbce8df2904318090a5cfe977e0e1b2fae952016dacbfa16f388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-05-21T00:10:02Z",
    "title_canon_sha256": "a60162472f676beef0917b741953c3e61e7fe0e6e2ab93953fff9b5f3c05e3e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07370",
    "kind": "arxiv",
    "version": 1
  }
}