Pith Number

pith:YSZAGM2J

pith:2026:YSZAGM2JLXRNFTMKEWX4TFKOFG

not attested not anchored not stored refs pending

Measuring the Complexity of Countable Presburger Models

Jason Block

arxiv:2601.21118 v3 · 2026-01-28 · 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{YSZAGM2JLXRNFTMKEWX4TFKOFG}

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	2026-06-19T16:10:54.467635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b20333495de2d2cd8a25afc9954e29a88c9b3a1dcab540b0ba566633c5a8f6

Aliases

arxiv: 2601.21118 · arxiv_version: 2601.21118v3 · doi: 10.48550/arxiv.2601.21118 · pith_short_12: YSZAGM2JLXRN · pith_short_16: YSZAGM2JLXRNFTMK · pith_short_8: YSZAGM2J

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/YSZAGM2JLXRNFTMKEWX4TFKOFG \
  | 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: c4b20333495de2d2cd8a25afc9954e29a88c9b3a1dcab540b0ba566633c5a8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413bed2f772db27282fcef01b3e21003650cb259b82319051b9bfe6bb1c1abf6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-01-28T23:18:39Z",
    "title_canon_sha256": "253d575f31c4eaadd428eda62239096b4d85ab8da988d67375de2cfacad01543"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.21118",
    "kind": "arxiv",
    "version": 3
  }
}