Pith Number

pith:37YZ33PP

pith:2016:37YZ33PP2N7554O4BHKCDKGHP2

not attested not anchored not stored refs pending

There are no intermediate structures between the group of integers and Presburger arithmetic

Gabriel Conant

arxiv:1603.00454 v3 · 2016-03-01 · 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{37YZ33PP2N7554O4BHKCDKGHP2}

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	2026-05-18T00:10:48.191670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff19dedefd37fdef1dc09d421a8c77e828da74735a35e3fbc58defba9cfe87d

Aliases

arxiv: 1603.00454 · arxiv_version: 1603.00454v3 · doi: 10.48550/arxiv.1603.00454 · pith_short_12: 37YZ33PP2N75 · pith_short_16: 37YZ33PP2N7554O4 · pith_short_8: 37YZ33PP

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/37YZ33PP2N7554O4BHKCDKGHP2 \
  | 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: dff19dedefd37fdef1dc09d421a8c77e828da74735a35e3fbc58defba9cfe87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf181726841225fe8b4ba6cd18cdd254cf74370a6b47118ec7dc66a80195659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-01T20:50:48Z",
    "title_canon_sha256": "5196cff13ccec962407d67f8fd45a38153b7ba19636e05ca46cdb37898f04c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00454",
    "kind": "arxiv",
    "version": 3
  }
}