Pith Number

pith:YRUG72TF

pith:2009:YRUG72TFVXC6OZVMGDTSDCXL7C

not attested not anchored not stored refs pending

On algebraic closure in pseudofinite fields

Ehud Hrushovski, \"Ozlem Beyarslan

arxiv:0909.2189 v3 · 2009-09-11 · 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{YRUG72TFVXC6OZVMGDTSDCXL7C}

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	2026-05-18T04:04:43.860067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4686fea65adc5e766ac30e7218aebf8a6e4eaca954e33b1d14049640843de08

Aliases

arxiv: 0909.2189 · arxiv_version: 0909.2189v3 · doi: 10.48550/arxiv.0909.2189 · pith_short_12: YRUG72TFVXC6 · pith_short_16: YRUG72TFVXC6OZVM · pith_short_8: YRUG72TF

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/YRUG72TFVXC6OZVMGDTSDCXL7C \
  | 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: c4686fea65adc5e766ac30e7218aebf8a6e4eaca954e33b1d14049640843de08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0bfc2c6bf256268395505d5e5d96c6a9f8798587911d7f6991eccc3463a2e16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-09-11T14:58:53Z",
    "title_canon_sha256": "1fbcadcae614f46f30474349f4138e085d1ad8b83849ca95ba26e5b7e21b927d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2189",
    "kind": "arxiv",
    "version": 3
  }
}