Pith Number

pith:P43XYU5B

pith:2023:P43XYU5BSHSR5BXUD4WWMBVOUJ

not attested not anchored not stored refs pending

Weak elementary fibrations

Ivan Panin, Ning Guo

arxiv:2302.02837 v1 · 2023-02-06 · 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{P43XYU5BSHSR5BXUD4WWMBVOUJ}

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	2026-07-05T05:39:07.261704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f377c53a191e51e86f41f2d6606aea27d0816aa478d352bea6da50dbc1fe565

Aliases

arxiv: 2302.02837 · arxiv_version: 2302.02837v1 · doi: 10.48550/arxiv.2302.02837 · pith_short_12: P43XYU5BSHSR · pith_short_16: P43XYU5BSHSR5BXU · pith_short_8: P43XYU5B

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/P43XYU5BSHSR5BXUD4WWMBVOUJ \
  | 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: 7f377c53a191e51e86f41f2d6606aea27d0816aa478d352bea6da50dbc1fe565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce78c87304975cf0dc7478963de59cf9cc29680da918c2a59112b4bcfcae082a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-02-06T15:00:16Z",
    "title_canon_sha256": "14122d01b500fa017c7c9d8fe602cd2f30a7c369525b13472eb98ce51c1cac9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.02837",
    "kind": "arxiv",
    "version": 1
  }
}