Pith Number

pith:SPFJKK2K

pith:2022:SPFJKK2KLJCNEGZDWDNAOR2J3A

not attested not anchored not stored refs pending

Moving lemmas in mixed characteristic and applications

Ivan Panin

arxiv:2202.00896 v1 · 2022-02-02 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPFJKK2KLJCNEGZDWDNAOR2J3A}

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	2026-07-05T03:53:39.856093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ca952b4a5a44d21b23b0da074749d83f589539ef57ffc0d344055cee960b65

Aliases

arxiv: 2202.00896 · arxiv_version: 2202.00896v1 · doi: 10.48550/arxiv.2202.00896 · pith_short_12: SPFJKK2KLJCN · pith_short_16: SPFJKK2KLJCNEGZD · pith_short_8: SPFJKK2K

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/SPFJKK2KLJCNEGZDWDNAOR2J3A \
  | 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: 93ca952b4a5a44d21b23b0da074749d83f589539ef57ffc0d344055cee960b65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d843a20370ea24fa24143be2cbe3c206e50657dc72f37a65725b1f16ae022a79",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2022-02-02T07:48:03Z",
    "title_canon_sha256": "871a31b3432f2126a14ea592eaae9662abf3f8f13f074166f743159d48a646a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.00896",
    "kind": "arxiv",
    "version": 1
  }
}