Pith Number

pith:GMRPKCNM

pith:2017:GMRPKCNMS4MLEQSBEKB4PVCJG2

not attested not anchored not stored refs pending

Two purity theorems and the Grothendieck--Serre's conjecture concerning principal G-bundles

Ivan Panin

arxiv:1707.01763 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{GMRPKCNMS4MLEQSBEKB4PVCJG2}

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	2026-05-18T00:40:47.546975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3322f509ac9718b242412283c7d44936a31ce66d4baf37d94a35244b13ce9926

Aliases

arxiv: 1707.01763 · arxiv_version: 1707.01763v1 · doi: 10.48550/arxiv.1707.01763 · pith_short_12: GMRPKCNMS4ML · pith_short_16: GMRPKCNMS4MLEQSB · pith_short_8: GMRPKCNM

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/GMRPKCNMS4MLEQSBEKB4PVCJG2 \
  | 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: 3322f509ac9718b242412283c7d44936a31ce66d4baf37d94a35244b13ce9926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8bdbc9ef39edcb72a302da9f3aff86562d5d35423c126a4c7616bbe80ae54df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-05T07:27:39Z",
    "title_canon_sha256": "e514b86de5702f3342e29f6bfa3865a6534ceb22ff8e649dd9f8c3ddcfee912b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01763",
    "kind": "arxiv",
    "version": 1
  }
}