Pith Number

pith:4KR7IPGY

pith:2024:4KR7IPGYIR3BWA4SGMTXGNS2SM

not attested not anchored not stored refs pending

Constant case of the Grothendieck-Serre conjecture in mixed characteristic

A.Stavrova, I.Panin

arxiv:2412.11723 v2 · 2024-12-16 · 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{4KR7IPGYIR3BWA4SGMTXGNS2SM}

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	2026-07-05T12:09:12.008740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2

Aliases

arxiv: 2412.11723 · arxiv_version: 2412.11723v2 · doi: 10.48550/arxiv.2412.11723 · pith_short_12: 4KR7IPGYIR3B · pith_short_16: 4KR7IPGYIR3BWA4S · pith_short_8: 4KR7IPGY

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/4KR7IPGYIR3BWA4SGMTXGNS2SM \
  | 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: e2a3f43cd844761b0392332773365a932d58c624dc448ce4080e91c52612d0b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51de38b34e39e6c5775b1909b076029d9d79eb1fbe0d26d29934247a91a6bb69",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-16T12:45:14Z",
    "title_canon_sha256": "108ce662dd92cbdbfde4a1bb9e56cbbe494470a779f9403803b9a2cb34a700f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11723",
    "kind": "arxiv",
    "version": 2
  }
}