Pith Number

pith:FOQ2Y3TZ

pith:2010:FOQ2Y3TZP6FFJEFQMZPMBVYF2C

not attested not anchored not stored refs pending

Definable linear orders definably embed into lexicographic orders in o-minimal structures

Janak Ramakrishnan

arxiv:1003.5400 v5 · 2010-03-28 · 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{FOQ2Y3TZP6FFJEFQMZPMBVYF2C}

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	2026-05-18T04:36:50.239304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ba1ac6e797f8a5490b0665ec0d705d0ba5878d380701b9dc8b11533173b7775

Aliases

arxiv: 1003.5400 · arxiv_version: 1003.5400v5 · doi: 10.48550/arxiv.1003.5400 · pith_short_12: FOQ2Y3TZP6FF · pith_short_16: FOQ2Y3TZP6FFJEFQ · pith_short_8: FOQ2Y3TZ

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/FOQ2Y3TZP6FFJEFQMZPMBVYF2C \
  | 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: 2ba1ac6e797f8a5490b0665ec0d705d0ba5878d380701b9dc8b11533173b7775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd82386c0a46f2cbe9adbb31988ff18197e6a0800e68b4e26f9e2cbf1bcc06f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-03-28T22:47:06Z",
    "title_canon_sha256": "9510f8822876ca9cbc9551a91b1da1c9cff6e215878902e5786831da3f912910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5400",
    "kind": "arxiv",
    "version": 5
  }
}