Pith Number

pith:Y4QBRG37

pith:2019:Y4QBRG37MQ3TB5UKAWOMPJVHHY

not attested not anchored not stored refs pending

Amenable covers and l^1-invisibility

Roberto Frigerio

arxiv:1907.10547 v1 · 2019-07-23 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4QBRG37MQ3TB5UKAWOMPJVHHY}

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	2026-05-17T23:39:37.593817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c720189b7f643730f68a059cc7a6a73e0baf56e9594605c25c83b0ebe3059627

Aliases

arxiv: 1907.10547 · arxiv_version: 1907.10547v1 · doi: 10.48550/arxiv.1907.10547 · pith_short_12: Y4QBRG37MQ3T · pith_short_16: Y4QBRG37MQ3TB5UK · pith_short_8: Y4QBRG37

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/Y4QBRG37MQ3TB5UKAWOMPJVHHY \
  | 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: c720189b7f643730f68a059cc7a6a73e0baf56e9594605c25c83b0ebe3059627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a2fe02ea5e3cfb1ef1dc9af43bb186ef94db921921d04b8acf62c89a86a358c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-07-23T15:40:12Z",
    "title_canon_sha256": "3e3096d54854726fd396fabc509776604dfe4a08e3d22b1a82ff7d100a7eb5b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10547",
    "kind": "arxiv",
    "version": 1
  }
}