Pith Number

pith:HJ7UA32X

pith:2025:HJ7UA32XMWLPDL446BAZV5NDBV

not attested not anchored not stored refs pending

Wild Betti sheaves

Peter Scholze

arxiv:2505.24599 v1 · 2025-05-30 · math.AG · math.AT · math.NT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ7UA32XMWLPDL446BAZV5NDBV}

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

A remark on Continuous K-theory and Fourier-Sato transform

Receipt and verification

First computed	2026-07-05T11:12:52.980750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7f406f576596f1af9cf0419af5a30d6d444d97ee8cb93828aa68cb96a8f43d

Aliases

arxiv: 2505.24599 · arxiv_version: 2505.24599v1 · doi: 10.48550/arxiv.2505.24599 · pith_short_12: HJ7UA32XMWLP · pith_short_16: HJ7UA32XMWLPDL44 · pith_short_8: HJ7UA32X

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/HJ7UA32XMWLPDL446BAZV5NDBV \
  | 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: 3a7f406f576596f1af9cf0419af5a30d6d444d97ee8cb93828aa68cb96a8f43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cdddf01e47ace143cbe6df487e1d144bb5c5757afa75ea4df5a63e10e712f9",
    "cross_cats_sorted": [
      "math.AT",
      "math.NT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-30T13:46:58Z",
    "title_canon_sha256": "6e6092a319bf82c9b4ae5432e889836df6dee55d7a98b4867285927324861c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24599",
    "kind": "arxiv",
    "version": 1
  }
}