Pith Number

pith:IMUQ3F6Q

pith:2017:IMUQ3F6Q3CORLEDL5JNPCBGTFZ

not attested not anchored not stored refs pending

Definable sets up to definable bijections in Presburger groups

Immanuel Halupczok, Raf Cluckers

arxiv:1706.02997 v1 · 2017-06-09 · 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{IMUQ3F6Q3CORLEDL5JNPCBGTFZ}

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	2026-05-18T00:25:45.571353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43290d97d0d89d15906bea5af104d32e4efba45a7f6efa7b4c8174cce21ff4bd

Aliases

arxiv: 1706.02997 · arxiv_version: 1706.02997v1 · doi: 10.48550/arxiv.1706.02997 · pith_short_12: IMUQ3F6Q3COR · pith_short_16: IMUQ3F6Q3CORLEDL · pith_short_8: IMUQ3F6Q

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/IMUQ3F6Q3CORLEDL5JNPCBGTFZ \
  | 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: 43290d97d0d89d15906bea5af104d32e4efba45a7f6efa7b4c8174cce21ff4bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b3fe209daec09679796cf148a62833d7d23a9fc8d99ca3131ac38990175d4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-09T15:26:11Z",
    "title_canon_sha256": "82547016832f37dabdd53f9242f28634d226270efea8871257613c3e7e544f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02997",
    "kind": "arxiv",
    "version": 1
  }
}