Pith Number

pith:4GWHZTOP

pith:2018:4GWHZTOPIUNUHSIPHQP3IX26GI

not attested not anchored not stored refs pending

Quasi-invariant measures for generalized approximately proper equivalence relations

R. Bissacot, R. Exel, R. Frausino, T. Raszeja

arxiv:1809.02461 v1 · 2018-09-07 · math.OA · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GWHZTOPIUNUHSIPHQP3IX26GI}

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	2026-05-18T00:06:17.037568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ac7ccdcf451b43c90f3c1fb45f5e32275ab967922f512d33ec94c9377f8eb1

Aliases

arxiv: 1809.02461 · arxiv_version: 1809.02461v1 · doi: 10.48550/arxiv.1809.02461 · pith_short_12: 4GWHZTOPIUNU · pith_short_16: 4GWHZTOPIUNUHSIP · pith_short_8: 4GWHZTOP

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/4GWHZTOPIUNUHSIPHQP3IX26GI \
  | 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: e1ac7ccdcf451b43c90f3c1fb45f5e32275ab967922f512d33ec94c9377f8eb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5c152e3efef53bd8bb346dbf08b62e8f729a54a4413cc2331323a4041cc02f",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-09-07T13:26:59Z",
    "title_canon_sha256": "16bc755389a5e267e47812ee0b441b5042f47794810a88c66105e597b340cfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02461",
    "kind": "arxiv",
    "version": 1
  }
}