Pith Number

pith:Z2LWI3PB

pith:2011:Z2LWI3PBBW7M3YHIDVOPUILA2W

not attested not anchored not stored refs pending

Brauer spaces for commutative rings and structured ring spectra

Markus Szymik

arxiv:1110.2956 v2 · 2011-10-13 · math.KT · 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{Z2LWI3PBBW7M3YHIDVOPUILA2W}

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	2026-05-18T00:53:51.759957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce97646de10dbecde0e81d5cfa2160d5b482a2b3adb9a03a0637c24a610a4123

Aliases

arxiv: 1110.2956 · arxiv_version: 1110.2956v2 · doi: 10.48550/arxiv.1110.2956 · pith_short_12: Z2LWI3PBBW7M · pith_short_16: Z2LWI3PBBW7M3YHI · pith_short_8: Z2LWI3PB

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/Z2LWI3PBBW7M3YHIDVOPUILA2W \
  | 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: ce97646de10dbecde0e81d5cfa2160d5b482a2b3adb9a03a0637c24a610a4123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4202b8847fdcdda2a72ed973b0836c1f3dbc7ba43c79c3716694ab744f2c6e0d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-10-13T14:22:35Z",
    "title_canon_sha256": "c3298e252f9e28d3dc8fa6e3766e6851b1dadb73d2f0c2196f984809f939b9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2956",
    "kind": "arxiv",
    "version": 2
  }
}