Pith Number

pith:WBF75O7P

pith:2015:WBF75O7PV3QAE5QRMIL43V2HNY

not attested not anchored not stored refs pending

The first-order theory of geometric points of schemes: Chevalley's theorem and quantifier elimination

L. Alexander Betts

arxiv:1504.03377 v1 · 2015-04-13 · math.AG · 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{WBF75O7PV3QAE5QRMIL43V2HNY}

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	2026-05-18T02:18:57.977675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04bfebbefaee00276116217cdd7476e17d5f5f0389652ae5ef640de03a658c2

Aliases

arxiv: 1504.03377 · arxiv_version: 1504.03377v1 · doi: 10.48550/arxiv.1504.03377 · pith_short_12: WBF75O7PV3QA · pith_short_16: WBF75O7PV3QAE5QR · pith_short_8: WBF75O7P

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/WBF75O7PV3QAE5QRMIL43V2HNY \
  | 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: b04bfebbefaee00276116217cdd7476e17d5f5f0389652ae5ef640de03a658c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b39eb226f14b44b9fd041f586ed3e3844eedc7b5c099d92356c4c027c248a42",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-13T22:09:15Z",
    "title_canon_sha256": "2d5b851ba6d668b0001e1af36621117605bff953ffa325170c493503e0e06e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03377",
    "kind": "arxiv",
    "version": 1
  }
}