Pith Number

pith:3IDTT33T

pith:2009:3IDTT33TGPL3XPDYRETMXESZLM

not attested not anchored not stored refs pending

On Grothendieck--Serre's conjecture concerning principal G-bundles over reductive group schemes:II

I. Panin

arxiv:0905.1423 v3 · 2009-05-09 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IDTT33TGPL3XPDYRETMXESZLM}

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	2026-05-18T03:27:10.491058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0739ef7333d7bbbc788926cb92595b2bd50382e21f881949bd21b811916412

Aliases

arxiv: 0905.1423 · arxiv_version: 0905.1423v3 · doi: 10.48550/arxiv.0905.1423 · pith_short_12: 3IDTT33TGPL3 · pith_short_16: 3IDTT33TGPL3XPDY · pith_short_8: 3IDTT33T

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/3IDTT33TGPL3XPDYRETMXESZLM \
  | 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: da0739ef7333d7bbbc788926cb92595b2bd50382e21f881949bd21b811916412

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee5fd24a8f0eb66b59e9c22b61f3ac14f2a28eb7b08c4d1a94088a823c7b97c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-09T18:27:27Z",
    "title_canon_sha256": "16fe26420f4d603d8fc3edb883c1c5c3c7a48cae95b9e085403b2e66fe69a226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1423",
    "kind": "arxiv",
    "version": 3
  }
}