Pith Number

pith:WSCUL3F6

pith:2017:WSCUL3F675YYFKY7A4MJHOPINQ

not attested not anchored not stored refs pending

On the Blumberg-Mandell K\"unneth theorem for TP

Akhil Mathew, Benjamin Antieau, Thomas Nikolaus

arxiv:1710.05658 v3 · 2017-10-16 · 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{WSCUL3F675YYFKY7A4MJHOPINQ}

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	2026-05-18T00:09:30.616433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b48545ecbeff7182ab1f071893b9e86c1f23151d3522147fa59bc1ddfd414047

Aliases

arxiv: 1710.05658 · arxiv_version: 1710.05658v3 · doi: 10.48550/arxiv.1710.05658 · pith_short_12: WSCUL3F675YY · pith_short_16: WSCUL3F675YYFKY7 · pith_short_8: WSCUL3F6

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/WSCUL3F675YYFKY7A4MJHOPINQ \
  | 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: b48545ecbeff7182ab1f071893b9e86c1f23151d3522147fa59bc1ddfd414047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64db21083a16a614448bfe8d7a6aef18d165e5dcb402777d17fdd15cede15980",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2017-10-16T12:46:43Z",
    "title_canon_sha256": "d298e6d170810aceed798a6fcbf653bbfa82f038a557d5c962c3e937a039b6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05658",
    "kind": "arxiv",
    "version": 3
  }
}