Pith Number

pith:5UPTD3OU

pith:2018:5UPTD3OULOZOUH6B5FWAHI75G2

not attested not anchored not stored refs pending

Characterizing downwards closed, strongly first order, relativizable dependencies

Pietro Galliani

arxiv:1809.00179 v2 · 2018-09-01 · 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{5UPTD3OULOZOUH6B5FWAHI75G2}

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	2026-05-17T23:52:58.858283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed1f31edd45bb2ea1fc1e96c03a3fd36b285741a4b3c56d3b4e56e5129f9ad31

Aliases

arxiv: 1809.00179 · arxiv_version: 1809.00179v2 · doi: 10.48550/arxiv.1809.00179 · pith_short_12: 5UPTD3OULOZO · pith_short_16: 5UPTD3OULOZOUH6B · pith_short_8: 5UPTD3OU

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/5UPTD3OULOZOUH6B5FWAHI75G2 \
  | 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: ed1f31edd45bb2ea1fc1e96c03a3fd36b285741a4b3c56d3b4e56e5129f9ad31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049319e69f4c18f366092bf1dbbac127db3f3d06b7e6c243de1ac10b9b5f084c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-09-01T13:43:39Z",
    "title_canon_sha256": "6c2afba63dffeebee76d3dffe23609999837967d5d1cdaf07a0a51b897492071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00179",
    "kind": "arxiv",
    "version": 2
  }
}