Pith Number

pith:PN3SINV2

pith:2016:PN3SINV2I2KSDT3MXKSFQWKGPD

not attested not anchored not stored refs pending

Clustered Cell Decomposition in P-Minimal Structures

Eva Leenknegt, Pablo Cubides Kovacsics, Saskia Chambille

arxiv:1612.02683 v1 · 2016-12-08 · 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{PN3SINV2I2KSDT3MXKSFQWKGPD}

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	2026-05-18T00:55:33.028489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b772436ba469521cf6cbaa458594678f2febac5b83b8d9c6a9cb4f356236c79

Aliases

arxiv: 1612.02683 · arxiv_version: 1612.02683v1 · doi: 10.48550/arxiv.1612.02683 · pith_short_12: PN3SINV2I2KS · pith_short_16: PN3SINV2I2KSDT3M · pith_short_8: PN3SINV2

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/PN3SINV2I2KSDT3MXKSFQWKGPD \
  | 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: 7b772436ba469521cf6cbaa458594678f2febac5b83b8d9c6a9cb4f356236c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515ce192fc53074e16d1c7f354ba02f42f9fb66ea30781f0a303d64f6d100ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-12-08T15:07:52Z",
    "title_canon_sha256": "fc2cd32180c13bb0085e81d5a61c86aedcceee535b4f1322daaa38c1ab100e7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02683",
    "kind": "arxiv",
    "version": 1
  }
}