Pith Number

pith:2IWKC4TE

pith:2010:2IWKC4TEOBACDXYHCFHCEZ6SMH

not attested not anchored not stored refs pending

Shells of twisted flag varieties and the Rost invariant

Nikita Semenov, Skip Garibaldi, Victor Petrov

arxiv:1012.2451 v4 · 2010-12-11 · 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{2IWKC4TEOBACDXYHCFHCEZ6SMH}

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	2026-05-18T01:21:05.909276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22ca17264704021df07114e2267d261e33dce01b8a994506a8f9881c9d2a083

Aliases

arxiv: 1012.2451 · arxiv_version: 1012.2451v4 · doi: 10.48550/arxiv.1012.2451 · pith_short_12: 2IWKC4TEOBAC · pith_short_16: 2IWKC4TEOBACDXYH · pith_short_8: 2IWKC4TE

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/2IWKC4TEOBACDXYHCFHCEZ6SMH \
  | 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: d22ca17264704021df07114e2267d261e33dce01b8a994506a8f9881c9d2a083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb7f91352ec292d67d58e878664de0b6948fd18265050572f39c7b7b86329f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-11T11:44:11Z",
    "title_canon_sha256": "2723e9e55ed9eaabf80c41b5cbba2e20036b88b5e3b80685515bd80c9900274a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2451",
    "kind": "arxiv",
    "version": 4
  }
}