Pith Number

pith:PO6QDS74

pith:2011:PO6QDS74PYVK3OZDU5U7IZTP57

not attested not anchored not stored refs pending

On Zariski's theorem in positive characteristic

Ilya Tyomkin

arxiv:1103.3180 v3 · 2011-03-16 · 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{PO6QDS74PYVK3OZDU5U7IZTP57}

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	2026-05-18T04:04:17.097876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bbd01cbfc7e2aadbb23a769f4666fefc92d2624df68631ce9c64f691a3e49ca

Aliases

arxiv: 1103.3180 · arxiv_version: 1103.3180v3 · doi: 10.48550/arxiv.1103.3180 · pith_short_12: PO6QDS74PYVK · pith_short_16: PO6QDS74PYVK3OZD · pith_short_8: PO6QDS74

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/PO6QDS74PYVK3OZDU5U7IZTP57 \
  | 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: 7bbd01cbfc7e2aadbb23a769f4666fefc92d2624df68631ce9c64f691a3e49ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65fc13bf968cbf9ba36aa86b4b19970384592e6fa43ba1789f1a558e61180185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-16T14:32:29Z",
    "title_canon_sha256": "f82d22f836b90085c22b4355cd0b6f2dc9151a3e281f306ae090ed05b9f80cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3180",
    "kind": "arxiv",
    "version": 3
  }
}