Pith Number

pith:4XZMVWSM

pith:2015:4XZMVWSMNPY5773S5ZE6RG3VKN

not attested not anchored not stored refs pending

Torus actions on stable module categories, Picard groups, and localizing subcategories

Akhil Mathew

arxiv:1512.01716 v1 · 2015-12-06 · math.RT · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XZMVWSMNPY5773S5ZE6RG3VKN}

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

2 papers in Pith

Chromatic defect, Wood's theorem, and higher real $K$-theories

The Galois theory of $G$-spectra and the Burnside ring

Receipt and verification

First computed	2026-05-18T01:25:10.543134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f2cada4c6bf1dfff72ee49e89b75537d9de9d91d335b3084081253682cf5fd

Aliases

arxiv: 1512.01716 · arxiv_version: 1512.01716v1 · doi: 10.48550/arxiv.1512.01716 · pith_short_12: 4XZMVWSMNPY5 · pith_short_16: 4XZMVWSMNPY5773S · pith_short_8: 4XZMVWSM

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/4XZMVWSMNPY5773S5ZE6RG3VKN \
  | 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: e5f2cada4c6bf1dfff72ee49e89b75537d9de9d91d335b3084081253682cf5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1ac74f16b97a07966d5a906443871f3163e02617b973c495a295bdddb91099",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-06T00:42:58Z",
    "title_canon_sha256": "3c6ca47bd6eb0b4607a1d87473dfce1e8a3c76d8fa76dddf0f20cf43d381f105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01716",
    "kind": "arxiv",
    "version": 1
  }
}