Pith Number

pith:G7PPVOD6

pith:2026:G7PPVOD64GLDJAWZJRLEUPN7NU

not attested not anchored not stored refs pending

A Rank-Preserving Gaifman Normal Form

Martin Grohe, Nicole Schweikardt

arxiv:2606.11993 v1 · 2026-06-10 · cs.LO · 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{G7PPVOD64GLDJAWZJRLEUPN7NU}

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	2026-06-11T01:10:41.448411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37defab87ee1963482d94c564a3dbf6d239f9c27530ddd1a477df1541b05f45f

Aliases

arxiv: 2606.11993 · arxiv_version: 2606.11993v1 · doi: 10.48550/arxiv.2606.11993 · pith_short_12: G7PPVOD64GLD · pith_short_16: G7PPVOD64GLDJAWZ · pith_short_8: G7PPVOD6

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/G7PPVOD64GLDJAWZJRLEUPN7NU \
  | 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: 37defab87ee1963482d94c564a3dbf6d239f9c27530ddd1a477df1541b05f45f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9af08a738dc3dee61f97a0a0161c1814eca58fe2887fdaa380bddb8fc6027713",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-10T12:19:07Z",
    "title_canon_sha256": "c963d3a052c0c2f12c4419401b9a96afd8499714ca75d7732c0fb7b60fdcd3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11993",
    "kind": "arxiv",
    "version": 1
  }
}