Pith Number

pith:H2FAY5BL

pith:2022:H2FAY5BLNPTPCR27LB2NBW44WN

not attested not anchored not stored refs pending

Unramified Grothendieck-Serre for simply-connected group schemes satisfying an isotropy condition via unipotent chains

Roman Fedorov

arxiv:2204.05442 v7 · 2022-04-11 · 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{H2FAY5BLNPTPCR27LB2NBW44WN}

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	2026-06-23T01:11:51.545047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e8a0c742b6be6f1475f5874d0db9cb35f906d1fba7f56c152241dfd62edbd1a

Aliases

arxiv: 2204.05442 · arxiv_version: 2204.05442v7 · doi: 10.48550/arxiv.2204.05442 · pith_short_12: H2FAY5BLNPTP · pith_short_16: H2FAY5BLNPTPCR27 · pith_short_8: H2FAY5BL

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/H2FAY5BLNPTPCR27LB2NBW44WN \
  | 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: 3e8a0c742b6be6f1475f5874d0db9cb35f906d1fba7f56c152241dfd62edbd1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd40b51454e3f45e5ee75e493d311fc8dedf75e23a86107602a1443e645c538a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-04-11T23:36:15Z",
    "title_canon_sha256": "b01184ca4db77f3d02d43f44c327dd9dae20c1e9f56788833c840fe1e8ea9155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.05442",
    "kind": "arxiv",
    "version": 7
  }
}