Pith Number

pith:Z4NQPNVL

pith:2016:Z4NQPNVL4P5XZ2RP5FE2EDSCK6

not attested not anchored not stored refs pending

Definable groups in models of Presburger Arithmetic and G^{00}

Alf Onshuus, Mariana Vicar\'ia

arxiv:1612.09042 v3 · 2016-12-29 · 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{Z4NQPNVL4P5XZ2RP5FE2EDSCK6}

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	2026-05-18T00:01:10.620552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1b07b6abe3fb7cea2fe949a20e425793f930c6d548a59198e4e2a82c64041b

Aliases

arxiv: 1612.09042 · arxiv_version: 1612.09042v3 · doi: 10.48550/arxiv.1612.09042 · pith_short_12: Z4NQPNVL4P5X · pith_short_16: Z4NQPNVL4P5XZ2RP · pith_short_8: Z4NQPNVL

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/Z4NQPNVL4P5XZ2RP5FE2EDSCK6 \
  | 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: cf1b07b6abe3fb7cea2fe949a20e425793f930c6d548a59198e4e2a82c64041b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6917573dac7b0dce130d9cedfb63d2e77552da30f286e52ebc84bef9e0b57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-29T05:50:06Z",
    "title_canon_sha256": "3664758abeac87b9889459e61caa7a453c5559f13695905415571ee804d487df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09042",
    "kind": "arxiv",
    "version": 3
  }
}