Pith Number

pith:JSVI4WBP

pith:2014:JSVI4WBPZGZSM6JQPXZKXD6U6O

not attested not anchored not stored refs pending

O-minimality and certain atypical intersections

Jonathan Pila, Philipp Habegger

arxiv:1409.0771 v1 · 2014-09-02 · math.NT · 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{JSVI4WBPZGZSM6JQPXZKXD6U6O}

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	2026-05-18T02:43:46.169829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4caa8e582fc9b32679307df2ab8fd4f3930b078c972e2b53eae50be1ce0a6554

Aliases

arxiv: 1409.0771 · arxiv_version: 1409.0771v1 · doi: 10.48550/arxiv.1409.0771 · pith_short_12: JSVI4WBPZGZS · pith_short_16: JSVI4WBPZGZSM6JQ · pith_short_8: JSVI4WBP

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/JSVI4WBPZGZSM6JQPXZKXD6U6O \
  | 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: 4caa8e582fc9b32679307df2ab8fd4f3930b078c972e2b53eae50be1ce0a6554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d39e7af80774883aa6c3ff0a92b538f3298bdf82461364a811ef7bce99a0bc4",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-02T16:16:55Z",
    "title_canon_sha256": "7b3319962913b6fc92822938ee7469d667464163b2f4fbc3f9f94cbbfe8c4182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0771",
    "kind": "arxiv",
    "version": 1
  }
}