Pith Number

pith:PSS7YL3B

pith:2019:PSS7YL3BTU3WBEYYBNNKD5GZWY

not attested not anchored not stored refs pending

Categories of coarse groups: quasi-homomorphisms and functorial coarse structures

Dikran Dikranjan, Nicol\`o Zava

arxiv:1905.05474 v1 · 2019-05-14 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSS7YL3BTU3WBEYYBNNKD5GZWY}

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	2026-05-17T23:46:16.351502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca5fc2f619d376093180b5aa1f4d9b611e6acf2e2b19af0cd513ac758786f3d

Aliases

arxiv: 1905.05474 · arxiv_version: 1905.05474v1 · doi: 10.48550/arxiv.1905.05474 · pith_short_12: PSS7YL3BTU3W · pith_short_16: PSS7YL3BTU3WBEYY · pith_short_8: PSS7YL3B

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/PSS7YL3BTU3WBEYYBNNKD5GZWY \
  | 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: 7ca5fc2f619d376093180b5aa1f4d9b611e6acf2e2b19af0cd513ac758786f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c44f5640ce46137af043c40ae39c2f4d7c9b3b8d169fb4101192d4679ba8b17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2019-05-14T09:10:46Z",
    "title_canon_sha256": "dc1797fbc3e5c3511e589f8994368668b17b242eac5f696b192358a1dd13e48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05474",
    "kind": "arxiv",
    "version": 1
  }
}