Pith Number

pith:YM2C7M4W

pith:2011:YM2C7M4WT6WY2Q4HP754Q4F4CV

not attested not anchored not stored refs pending

Equivalence of Gromov-Prohorov- and Gromov's Box-Metric on the Space of Metric Measure Spaces

Wolfgang L\"ohr

arxiv:1111.5837 v4 · 2011-11-24 · math.PR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YM2C7M4WT6WY2Q4HP754Q4F4CV}

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	2026-05-18T01:18:15.432386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3342fb3969fad8d43877ffbc870bc15512404410d73e14d1aaeb7e33805c0de

Aliases

arxiv: 1111.5837 · arxiv_version: 1111.5837v4 · doi: 10.48550/arxiv.1111.5837 · pith_short_12: YM2C7M4WT6WY · pith_short_16: YM2C7M4WT6WY2Q4H · pith_short_8: YM2C7M4W

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/YM2C7M4WT6WY2Q4HP754Q4F4CV \
  | 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: c3342fb3969fad8d43877ffbc870bc15512404410d73e14d1aaeb7e33805c0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43a0eb454d80ee05983b3260fbba06ba51a46ea4947727b2bf8fab00db60c7c8",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-24T19:12:35Z",
    "title_canon_sha256": "80cf9745c1951033e235c6b656fc9cb31441e90542b4e7279f38b38058028b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5837",
    "kind": "arxiv",
    "version": 4
  }
}