Pith Number

pith:PSOZJWHL

pith:2011:PSOZJWHLXEVQ52P5VMJIKG6FLS

not attested not anchored not stored refs pending

Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr map

Andrew J. Blumberg, David Gepner, Matthew Ando

arxiv:1112.2203 v2 · 2011-12-09 · 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{PSOZJWHLXEVQ52P5VMJIKG6FLS}

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

1 paper in Pith

On a generalization of the topological Brauer group

Receipt and verification

First computed	2026-05-17T23:58:06.131572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9d94d8ebb92b0ee9fdab12851bc55c984db14e4bd5059812c122d36df5a84f

Aliases

arxiv: 1112.2203 · arxiv_version: 1112.2203v2 · doi: 10.48550/arxiv.1112.2203 · pith_short_12: PSOZJWHLXEVQ · pith_short_16: PSOZJWHLXEVQ52P5 · pith_short_8: PSOZJWHL

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/PSOZJWHLXEVQ52P5VMJIKG6FLS \
  | 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: 7c9d94d8ebb92b0ee9fdab12851bc55c984db14e4bd5059812c122d36df5a84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f581c45a411a76a98ce693555d82d211f2f0e566dc9a5bcd034de50e391143a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-09T20:36:20Z",
    "title_canon_sha256": "121e0cdba2040bc58aae822b16ce252793c9bff670140043368a6466ec85e0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2203",
    "kind": "arxiv",
    "version": 2
  }
}