Pith Number

pith:ANSBYG6W

pith:2020:ANSBYG6WBO5YJP74BWADMYP7AO

not attested not anchored not stored refs pending

Grothendieck-Serre in the quasi-split unramified case

Kestutis Cesnavicius

arxiv:2009.05299 v7 · 2020-09-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANSBYG6WBO5YJP74BWADMYP7AO}

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.

Cited by

1 paper in Pith

Constant case of the Grothendieck-Serre conjecture in mixed characteristic

Receipt and verification

First computed	2026-07-05T05:13:53.634095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03641c1bd60bbb84bffc0d803661ff0383c519a477a38e221d54f387dd5d1031

Aliases

arxiv: 2009.05299 · arxiv_version: 2009.05299v7 · doi: 10.48550/arxiv.2009.05299 · pith_short_12: ANSBYG6WBO5Y · pith_short_16: ANSBYG6WBO5YJP74 · pith_short_8: ANSBYG6W

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/ANSBYG6WBO5YJP74BWADMYP7AO \
  | 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: 03641c1bd60bbb84bffc0d803661ff0383c519a477a38e221d54f387dd5d1031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0aeea284a80e9cf0b2524625d1e75649787e75b09a9b4cbcb3b6c437f2e284",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-09-11T09:07:06Z",
    "title_canon_sha256": "491e2ee0eaf37cce9eeefe7c7ce223d0009c7f37054995a0543875a8940f79d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05299",
    "kind": "arxiv",
    "version": 7
  }
}