Pith Number

pith:JQUSRQJS

pith:2015:JQUSRQJS65NSRI5MHH7SWFSYMK

not attested not anchored not stored refs pending

Lipschitz stratifications in power-bounded o-minimal fields

Immanuel Halupczok, Yimu Yin

arxiv:1509.02376 v2 · 2015-09-08 · math.LO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQUSRQJS65NSRI5MHH7SWFSYMK}

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	2026-05-18T01:21:04.597646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c2928c132f75b28a3ac39ff2b165862b89abe6c32ada610077d48b9ed137cdb

Aliases

arxiv: 1509.02376 · arxiv_version: 1509.02376v2 · doi: 10.48550/arxiv.1509.02376 · pith_short_12: JQUSRQJS65NS · pith_short_16: JQUSRQJS65NSRI5M · pith_short_8: JQUSRQJS

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/JQUSRQJS65NSRI5MHH7SWFSYMK \
  | 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: 4c2928c132f75b28a3ac39ff2b165862b89abe6c32ada610077d48b9ed137cdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de8755eeb56698b0e6fa26d08e7ceef3324af7e06a30810585ccea4e467864da",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-08T14:04:51Z",
    "title_canon_sha256": "0198f35fe0d20f37f0ecdd1b10cf7041dd5f79657008e70ad10b05bddb099be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02376",
    "kind": "arxiv",
    "version": 2
  }
}