Pith Number

pith:7GWMSPNQ

pith:2012:7GWMSPNQHDXADXAYIX6Q4GJB37

not attested not anchored not stored refs pending

Radon-Nikodym property and area formula for Banach homogeneous group targets

Tapio Rajala, Valentino Magnani

arxiv:1201.3201 v1 · 2012-01-16 · math.FA · 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{7GWMSPNQHDXADXAYIX6Q4GJB37}

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	2026-05-18T04:04:31.926073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9acc93db038ee01dc1845fd0e1921dfc227cfb6aa5f760ac28dd444eb8441e9

Aliases

arxiv: 1201.3201 · arxiv_version: 1201.3201v1 · doi: 10.48550/arxiv.1201.3201 · pith_short_12: 7GWMSPNQHDXA · pith_short_16: 7GWMSPNQHDXADXAY · pith_short_8: 7GWMSPNQ

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/7GWMSPNQHDXADXAYIX6Q4GJB37 \
  | 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: f9acc93db038ee01dc1845fd0e1921dfc227cfb6aa5f760ac28dd444eb8441e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d6598a32241d82b8b401c9054caf32046b48f20ad0214f9655287bf2bd9305",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-16T10:22:37Z",
    "title_canon_sha256": "9625dbd97da79694d226fb16d2e620f82c64fe018f16b449001d8edd0388c8ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3201",
    "kind": "arxiv",
    "version": 1
  }
}