Pith Number

pith:FMKPV4U6

pith:2015:FMKPV4U65U7U6TJFIM57J7OCRQ

not attested not anchored not stored refs pending

Picard groups of higher real $K$-theory spectra at height $p-1$

Akhil Mathew, Drew Heard, Vesna Stojanoska

arxiv:1511.08064 v1 · 2015-11-25 · 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{FMKPV4U65U7U6TJFIM57J7OCRQ}

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	2026-05-17T23:53:13.511585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b14faf29eed3f4f4d25433bf4fdc28c30d4cfae617080a765d66c71049eda47

Aliases

arxiv: 1511.08064 · arxiv_version: 1511.08064v1 · doi: 10.48550/arxiv.1511.08064 · pith_short_12: FMKPV4U65U7U · pith_short_16: FMKPV4U65U7U6TJF · pith_short_8: FMKPV4U6

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/FMKPV4U65U7U6TJFIM57J7OCRQ \
  | 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: 2b14faf29eed3f4f4d25433bf4fdc28c30d4cfae617080a765d66c71049eda47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f5f3b785b53eb3a61b0fc2cea7296f450fea6b13725b9d8fd10e55b32284ab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-25T14:00:37Z",
    "title_canon_sha256": "530ef1f73d37cfcc1491dd0a799e97878705ad16f7d87c3f1b362bf6095f6c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08064",
    "kind": "arxiv",
    "version": 1
  }
}