Pith Number

pith:BG6USYY4

pith:2019:BG6USYY4SFXDCMWIPHDUH4VAYZ

not attested not anchored not stored refs pending

Definability patterns and their symmetries

Ehud Hrushovski

arxiv:1911.01129 v4 · 2019-11-04 · 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{BG6USYY4SFXDCMWIPHDUH4VAYZ}

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.

Cited by

1 paper in Pith

Trace definability I: preservation and characterizations

Receipt and verification

First computed	2026-07-05T03:47:11.857849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09bd49631c916e3132c879c743f2a0c65e3b229c42948e467d93eccb10adc3c8

Aliases

arxiv: 1911.01129 · arxiv_version: 1911.01129v4 · doi: 10.48550/arxiv.1911.01129 · pith_short_12: BG6USYY4SFXD · pith_short_16: BG6USYY4SFXDCMWI · pith_short_8: BG6USYY4

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/BG6USYY4SFXDCMWIPHDUH4VAYZ \
  | 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: 09bd49631c916e3132c879c743f2a0c65e3b229c42948e467d93eccb10adc3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f127e67d6c988a324c53fbed70fa7a67884be8d4b6bd275d9f694518617c13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-11-04T11:03:02Z",
    "title_canon_sha256": "a02a517decd46d36ed6094afe5ec03c413e39403c9c09986f176aac8eb50805f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.01129",
    "kind": "arxiv",
    "version": 4
  }
}