Pith Number

pith:7ZSWBFQ3

pith:2017:7ZSWBFQ33NMWJZYTT3XWQTOQVO

not attested not anchored not stored refs pending

Proof of Grothendieck--Serre conjecture on principal bundles over regular local rings containing a finite field

Ivan Panin

arxiv:1707.01767 v1 · 2017-07-05 · 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{7ZSWBFQ33NMWJZYTT3XWQTOQVO}

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	2026-05-18T00:40:47.519846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6560961bdb5964e7139eef684dd0aba2eafd0a77dd1c12f58f514205de8af2

Aliases

arxiv: 1707.01767 · arxiv_version: 1707.01767v1 · doi: 10.48550/arxiv.1707.01767 · pith_short_12: 7ZSWBFQ33NMW · pith_short_16: 7ZSWBFQ33NMWJZYT · pith_short_8: 7ZSWBFQ3

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/7ZSWBFQ33NMWJZYTT3XWQTOQVO \
  | 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: fe6560961bdb5964e7139eef684dd0aba2eafd0a77dd1c12f58f514205de8af2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d438a58957b80647a08669d2dcc15b268bbcbe172c5f13425e8c077b1c51851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-05T10:05:04Z",
    "title_canon_sha256": "dd2d0f8a1644115f0ad4295f873cf096a7c1771c78ccd796613af29928869af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01767",
    "kind": "arxiv",
    "version": 1
  }
}