Pith Number

pith:VCGRIAVY

pith:2024:VCGRIAVY3MR7QWV5AKZ4VRJFMS

not attested not anchored not stored refs pending

On the rationalization of the $K(n)$-local sphere

Jared Weinstein, Nathaniel Stapleton, Tobias Barthel, Tomer M. Schlank

arxiv:2402.00960 v2 · 2024-02-01 · math.AT · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCGRIAVY3MR7QWV5AKZ4VRJFMS}

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

4 papers in Pith

Higher Semiadditive Character Theory

Ogus's conjecture on F-isocrystals

To be or not to be local

On Drinfeld's representability theorem

Receipt and verification

First computed	2026-07-05T12:07:53.070705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88d1402b8db23f85abd02b3cac52564a130c768ac200ee0fea4ae319e0e449d

Aliases

arxiv: 2402.00960 · arxiv_version: 2402.00960v2 · doi: 10.48550/arxiv.2402.00960 · pith_short_12: VCGRIAVY3MR7 · pith_short_16: VCGRIAVY3MR7QWV5 · pith_short_8: VCGRIAVY

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/VCGRIAVY3MR7QWV5AKZ4VRJFMS \
  | 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: a88d1402b8db23f85abd02b3cac52564a130c768ac200ee0fea4ae319e0e449d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a19839c977531f8c963cc5410a79b10c261b5b30dfe0f7e3c97e147cf3c722",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-02-01T19:26:39Z",
    "title_canon_sha256": "62ab90013791ed430984cb97377a919da1d1da643c4f9b479718443f9a6785a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.00960",
    "kind": "arxiv",
    "version": 2
  }
}