Pith Number

pith:64BCQC5O

pith:2011:64BCQC5OQM5UVU36XRJQQC6R25

not attested not anchored not stored refs pending

On the cohomology of loop spaces for some Thom spaces

Andrew Baker

arxiv:1105.0692 v5 · 2011-05-03 · 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{64BCQC5OQM5UVU36XRJQQC6R25}

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	2026-05-18T03:56:22.678433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f702280bae833b4ad37ebc53080bd1d76877ff33675845fa61f65f975a4df849

Aliases

arxiv: 1105.0692 · arxiv_version: 1105.0692v5 · doi: 10.48550/arxiv.1105.0692 · pith_short_12: 64BCQC5OQM5U · pith_short_16: 64BCQC5OQM5UVU36 · pith_short_8: 64BCQC5O

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/64BCQC5OQM5UVU36XRJQQC6R25 \
  | 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: f702280bae833b4ad37ebc53080bd1d76877ff33675845fa61f65f975a4df849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0cdd81002023a7a2e95756689e038dd1836dfae3e864eb60eae4c2d6d4f403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-05-03T21:21:10Z",
    "title_canon_sha256": "8d679506734c5aaf337ba2260644317fe45c8b08a62c4acdf40def71634be724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0692",
    "kind": "arxiv",
    "version": 5
  }
}