Pith Number

pith:WUIS3JUH

pith:2012:WUIS3JUHWRUFQFDHMQJHR5CRYP

not attested not anchored not stored refs pending

Rationally isotropic exceptional projective homogeneous varieties are locally isotropic

Ivan Panin, Victor Petrov

arxiv:1210.6695 v1 · 2012-10-24 · 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{WUIS3JUHWRUFQFDHMQJHR5CRYP}

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	2026-05-18T03:42:23.331569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5112da687b468581467641278f451c3c20d73b9ef7ff7432c53321ed98d322b

Aliases

arxiv: 1210.6695 · arxiv_version: 1210.6695v1 · doi: 10.48550/arxiv.1210.6695 · pith_short_12: WUIS3JUHWRUF · pith_short_16: WUIS3JUHWRUFQFDH · pith_short_8: WUIS3JUH

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/WUIS3JUHWRUFQFDHMQJHR5CRYP \
  | 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: b5112da687b468581467641278f451c3c20d73b9ef7ff7432c53321ed98d322b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f0e2e6ee6cff4493ab51b041b62da5ec93537c23fe337f4700c470bf94af36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-24T22:22:45Z",
    "title_canon_sha256": "f8983112dfbba28c1b94563ee80300ec69fcca5ed587a942d98621759af6d1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6695",
    "kind": "arxiv",
    "version": 1
  }
}