Pith Number

pith:IXBQSMYM

pith:2010:IXBQSMYMUQK5GI4SRBTE44HJKQ

not attested not anchored not stored refs pending

Constructing o-minimal structures with decidable theories using generic families of functions from quasianalytic classes

Daniel J. Miller

arxiv:1008.2575 v1 · 2010-08-16 · 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{IXBQSMYMUQK5GI4SRBTE44HJKQ}

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	2026-05-18T04:42:12.995949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c309330ca415d3239288664e70e9540e07e08177ebec887c401fa372a529fb

Aliases

arxiv: 1008.2575 · arxiv_version: 1008.2575v1 · doi: 10.48550/arxiv.1008.2575 · pith_short_12: IXBQSMYMUQK5 · pith_short_16: IXBQSMYMUQK5GI4S · pith_short_8: IXBQSMYM

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/IXBQSMYMUQK5GI4SRBTE44HJKQ \
  | 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: 45c309330ca415d3239288664e70e9540e07e08177ebec887c401fa372a529fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b739f128c98e6890c5bf62eabac8e240d56cb39e1615557f3c69da9e958a747",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-08-16T05:41:40Z",
    "title_canon_sha256": "2b02f0b4c899b11f46b227c211c998cfce43bcb36a8d5fc51b3df9ceb6f08308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2575",
    "kind": "arxiv",
    "version": 1
  }
}