Pith Number

pith:MWI4L525

pith:2022:MWI4L5252XYOAJPV4GAFIN2KW6

not attested not anchored not stored refs pending

$G$-torsors on perfectoid spaces

Ben Heuer

arxiv:2207.07623 v3 · 2022-07-15 · 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{MWI4L5252XYOAJPV4GAFIN2KW6}

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	2026-05-20T14:03:15.788223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6591c5f75dd5f0e025f5e18054374ab7ba60ff28dc204b19ef7932e494322f6e

Aliases

arxiv: 2207.07623 · arxiv_version: 2207.07623v3 · doi: 10.48550/arxiv.2207.07623 · pith_short_12: MWI4L5252XYO · pith_short_16: MWI4L5252XYOAJPV · pith_short_8: MWI4L525

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/MWI4L5252XYOAJPV4GAFIN2KW6 \
  | 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: 6591c5f75dd5f0e025f5e18054374ab7ba60ff28dc204b19ef7932e494322f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5cdbbc2f3c293b6c4e8b84240d02bab0db82426302caebd4a5bf53157daabf8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-07-15T17:35:04Z",
    "title_canon_sha256": "768f823a57b1a271714da03e69185d9521678369fcc449124e409ba9fd1a5ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07623",
    "kind": "arxiv",
    "version": 3
  }
}