Pith Number

pith:EHC6WNHR

pith:2019:EHC6WNHRGCGM4LKN7DRWVANBFS

not attested not anchored not stored refs pending

Cohomology of the classifying spaces of $U(n)$-gauge groups over the 2-sphere

Masahiro Takeda

arxiv:1908.04448 v1 · 2019-08-13 · 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{EHC6WNHRGCGM4LKN7DRWVANBFS}

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	2026-07-04T23:55:13.882862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21c5eb34f1308cce2d4df8e36a81a12c95a72d3d9daec4cb38cf10160124fd1d

Aliases

arxiv: 1908.04448 · arxiv_version: 1908.04448v1 · doi: 10.48550/arxiv.1908.04448 · pith_short_12: EHC6WNHRGCGM · pith_short_16: EHC6WNHRGCGM4LKN · pith_short_8: EHC6WNHR

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/EHC6WNHRGCGM4LKN7DRWVANBFS \
  | 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: 21c5eb34f1308cce2d4df8e36a81a12c95a72d3d9daec4cb38cf10160124fd1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181439473af0ec6b3c63f7938a17d9ea6fb1372ac356af50e58eeec0800f840f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-13T00:58:39Z",
    "title_canon_sha256": "5d219527d126bceb90e5beea36c7dd8d832a47660bfd407019c0bfadab4e4513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04448",
    "kind": "arxiv",
    "version": 1
  }
}