Pith Number

pith:W6RGTHNS

pith:2010:W6RGTHNSWDNQ362UO7HU7S4IYD

not attested not anchored not stored refs pending

Frobenius morphism and vector bundles on cycles of projective lines

Igor Burban

arxiv:1010.0399 v2 · 2010-10-03 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6RGTHNSWDNQ362UO7HU7S4IYD}

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	2026-05-18T03:55:25.067675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a2699db2b0db0dfb5477cf4fcb88c0f3ff4363ec625c13c3f8ae041fb198e4

Aliases

arxiv: 1010.0399 · arxiv_version: 1010.0399v2 · doi: 10.48550/arxiv.1010.0399 · pith_short_12: W6RGTHNSWDNQ · pith_short_16: W6RGTHNSWDNQ362U · pith_short_8: W6RGTHNS

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/W6RGTHNSWDNQ362UO7HU7S4IYD \
  | 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: b7a2699db2b0db0dfb5477cf4fcb88c0f3ff4363ec625c13c3f8ae041fb198e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3fc2e716e08fdb122b81b47c897e3c5daa80d33736d12046cd1dd74d6688966",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-03T13:14:10Z",
    "title_canon_sha256": "146218e91681669ca4f1ed327844870f7eb6d7e25450621d569df706a0aa2af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0399",
    "kind": "arxiv",
    "version": 2
  }
}