Pith Number

pith:RIO6PHBK

pith:2000:RIO6PHBKERU5GGFTFGZNMKI7I6

not attested not anchored not stored refs pending

Unirationality of cubic hypersurfaces

J\'anos Koll\'ar (Princeton Univ.)

arxiv:math/0005146 v1 · 2000-05-15 · 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{RIO6PHBKERU5GGFTFGZNMKI7I6}

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	2026-07-04T14:34:30.456403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a1de79c2a2469d318b329b2d6291f47aef5f38f6d636d58d8e2e179bd7c3d3c

Aliases

arxiv: math/0005146 · arxiv_version: math/0005146v1 · doi: 10.48550/arxiv.math/0005146 · pith_short_12: RIO6PHBKERU5 · pith_short_16: RIO6PHBKERU5GGFT · pith_short_8: RIO6PHBK

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/RIO6PHBKERU5GGFTFGZNMKI7I6 \
  | 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: 8a1de79c2a2469d318b329b2d6291f47aef5f38f6d636d58d8e2e179bd7c3d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694dc2f1ce5e624d8ca15921bb13aab69445050bb5caf764e350060494d490ea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-05-15T14:58:19Z",
    "title_canon_sha256": "edbf106676ce0dffdb3dbbf18ca1d38891dbf1c54f43539b5150963db37ad20f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005146",
    "kind": "arxiv",
    "version": 1
  }
}