Pith Number

pith:P5RMNETQ

pith:2014:P5RMNETQBFMGDGSJC2BD2FWFNB

not attested not anchored not stored refs pending

Smoothness of bounded invariant equivalence relations

Krzysztof Krupi\'nski, Tomasz Rzepecki

arxiv:1406.7402 v2 · 2014-06-28 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5RMNETQBFMGDGSJC2BD2FWFNB}

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	2026-05-18T01:19:16.295566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f62c692700958619a4916823d16c568468ea1fdebb6b5e5139666288f33474c

Aliases

arxiv: 1406.7402 · arxiv_version: 1406.7402v2 · doi: 10.48550/arxiv.1406.7402 · pith_short_12: P5RMNETQBFMG · pith_short_16: P5RMNETQBFMGDGSJ · pith_short_8: P5RMNETQ

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/P5RMNETQBFMGDGSJC2BD2FWFNB \
  | 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: 7f62c692700958619a4916823d16c568468ea1fdebb6b5e5139666288f33474c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617b82bb2215ec6044845bc0925e17233bb9a1d52ccb233fad70c543978637fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-06-28T13:56:07Z",
    "title_canon_sha256": "3b7cddd69c3af3efcdcd336d0e7d1d88ec695551ec4dd3d9fab0948ba8a32710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7402",
    "kind": "arxiv",
    "version": 2
  }
}