Pith Number

pith:K27VXLWK

pith:2019:K27VXLWKWI3D7KA3QPK6KQME37

not attested not anchored not stored refs pending

Localization for coarse homology theories

Luigi Caputi, Ulrich Bunke

arxiv:1902.04947 v5 · 2019-02-13 · math.KT · math.AT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K27VXLWKWI3D7KA3QPK6KQME37}

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	2026-07-05T08:23:50.118770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bf5baecab2363fa81b83d5e54184dffe1ce1e9606d56ea486a67f231d44434

Aliases

arxiv: 1902.04947 · arxiv_version: 1902.04947v5 · doi: 10.48550/arxiv.1902.04947 · pith_short_12: K27VXLWKWI3D · pith_short_16: K27VXLWKWI3D7KA3 · pith_short_8: K27VXLWK

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/K27VXLWKWI3D7KA3QPK6KQME37 \
  | 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: 56bf5baecab2363fa81b83d5e54184dffe1ce1e9606d56ea486a67f231d44434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "884c679b78d4babc3d48e2cb57c88ec6d1e14f139f7f95f0c8032d7933b0aa89",
    "cross_cats_sorted": [
      "math.AT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2019-02-13T15:19:41Z",
    "title_canon_sha256": "a38388b1345b23fa6850aa4b9e5f3e74947dd0d427af96284216aa08af6b0e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04947",
    "kind": "arxiv",
    "version": 5
  }
}