Pith Number

pith:V2CM53PA

pith:2024:V2CM53PA2W33MZQRF7AVB57EEH

not attested not anchored not stored refs pending

Bounding the $K(p-1)$-local exotic Picard group at $p>3$

Adela YiYu Zhang, Alicia Lima, Andrea Lachmann, Ang Li, Irina Bobkova, Vesna Stojanoska

arxiv:2403.15572 v2 · 2024-03-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2CM53PA2W33MZQRF7AVB57EEH}

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	2026-07-05T08:38:58.541070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae84ceede0d5b7b666112fc150f7e421fa1529cb8326d018754b87c09867c054

Aliases

arxiv: 2403.15572 · arxiv_version: 2403.15572v2 · doi: 10.48550/arxiv.2403.15572 · pith_short_12: V2CM53PA2W33 · pith_short_16: V2CM53PA2W33MZQR · pith_short_8: V2CM53PA

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/V2CM53PA2W33MZQRF7AVB57EEH \
  | 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: ae84ceede0d5b7b666112fc150f7e421fa1529cb8326d018754b87c09867c054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d165032c92fd2a2bd0ca5b153c3555e491fb4f6b3bf6ee35a364c442be035d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-03-22T18:53:08Z",
    "title_canon_sha256": "cafee9606ef7107ae6a5bb8f2b3d7b88004efaf704bef203cb480aac5c781e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15572",
    "kind": "arxiv",
    "version": 2
  }
}