pith. sign in
Pith Number

pith:ZSJOFE3S

pith:2012:ZSJOFE3SNO3ICO7QGMSVIOISFH
not attested not anchored not stored refs pending

Coarse amenability versus paracompactness

A. Vavpeti\v{c}, J. Dydak, M. Cencelj

arxiv:1208.2864 v3 · 2012-08-13 · math.MG · math.GN · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZSJOFE3SNO3ICO7QGMSVIOISFH}

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 2026-05-18T03:03:21.325412Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cc92e293726bb6813bf0332554391229f462ef58aa4d6bc1be94179276618d22

Aliases

arxiv: 1208.2864 · arxiv_version: 1208.2864v3 · doi: 10.48550/arxiv.1208.2864 · pith_short_12: ZSJOFE3SNO3I · pith_short_16: ZSJOFE3SNO3ICO7Q · pith_short_8: ZSJOFE3S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSJOFE3SNO3ICO7QGMSVIOISFH \
  | 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: cc92e293726bb6813bf0332554391229f462ef58aa4d6bc1be94179276618d22
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cf761eb355ee92992d18e803fd8992b6f9772eb25016d7c72509e61fd3869a63",
    "cross_cats_sorted": [
      "math.GN",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-08-13T13:23:08Z",
    "title_canon_sha256": "308d386bca6f07fe87021323094d784accb12c16fdfdf7c6a247e21aa048285a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2864",
    "kind": "arxiv",
    "version": 3
  }
}