Pith Number

pith:R5RTEWCH

pith:2012:R5RTEWCHQ6PLKUVTMMLPM4J3DP

not attested not anchored not stored refs pending

Flatness is a Criterion for Selection of Maximizing Measures

Renaud Leplaideur (LM)

arxiv:1201.5452 v1 · 2012-01-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5RTEWCHQ6PLKUVTMMLPM4J3DP}

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	2026-05-18T01:58:41.668699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f63325847879eb552b36316f6713b1bf57a54eec536fcb8c7a19135de276fdd

Aliases

arxiv: 1201.5452 · arxiv_version: 1201.5452v1 · doi: 10.48550/arxiv.1201.5452 · pith_short_12: R5RTEWCHQ6PL · pith_short_16: R5RTEWCHQ6PLKUVT · pith_short_8: R5RTEWCH

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/R5RTEWCHQ6PLKUVTMMLPM4J3DP \
  | 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: 8f63325847879eb552b36316f6713b1bf57a54eec536fcb8c7a19135de276fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbade8e4b685edc9100b876689f78d26309475d2e864e22f637ecff21159b45d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-01-26T08:27:31Z",
    "title_canon_sha256": "e11696fc61e18f398f4b93dec48d864d387a856eccb6a02e16308ae7240e5b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5452",
    "kind": "arxiv",
    "version": 1
  }
}