Pith Number

pith:P4G5Q7BB

pith:2014:P4G5Q7BB3AZP7KTPRLPYFVVWGD

not attested not anchored not stored refs pending

$K$-theory and homotopies of 2-cocycles on group bundles

Elizabeth Gillaspy

arxiv:1408.1175 v2 · 2014-08-06 · math.OA · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4G5Q7BB3AZP7KTPRLPYFVVWGD}

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	2026-05-18T02:39:23.499358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0dd87c21d832ffaa6f8adf82d6b630cd488ba158d07cefcd8cb55f391ea9a8

Aliases

arxiv: 1408.1175 · arxiv_version: 1408.1175v2 · doi: 10.48550/arxiv.1408.1175 · pith_short_12: P4G5Q7BB3AZP · pith_short_16: P4G5Q7BB3AZP7KTP · pith_short_8: P4G5Q7BB

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/P4G5Q7BB3AZP7KTPRLPYFVVWGD \
  | 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: 7f0dd87c21d832ffaa6f8adf82d6b630cd488ba158d07cefcd8cb55f391ea9a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa8b309b46eecf284b23a51200c7fd3b0051d0cfcf77cd09b1bfe47abf1a218",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-06T03:40:20Z",
    "title_canon_sha256": "2be0da8984eaa6e0256ca2649eaf3ea66026b1c1c170a9f4cda9e25b3662d80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1175",
    "kind": "arxiv",
    "version": 2
  }
}