Pith Number

pith:M4HJ7VTC

pith:2015:M4HJ7VTCL2VWRLZMB75LZAOQGT

not attested not anchored not stored refs pending

Infinite measure~preserving~transformations with Radon MSJ

Alexandre I. Danilenko

arxiv:1503.01568 v5 · 2015-03-05 · 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{M4HJ7VTCL2VWRLZMB75LZAOQGT}

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	2026-05-18T00:44:33.987132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670e9fd6625eab68af2c0ffabc81d034f2ed2233295ea868210813c79544ae0b

Aliases

arxiv: 1503.01568 · arxiv_version: 1503.01568v5 · doi: 10.48550/arxiv.1503.01568 · pith_short_12: M4HJ7VTCL2VW · pith_short_16: M4HJ7VTCL2VWRLZM · pith_short_8: M4HJ7VTC

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/M4HJ7VTCL2VWRLZMB75LZAOQGT \
  | 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: 670e9fd6625eab68af2c0ffabc81d034f2ed2233295ea868210813c79544ae0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc5b64b570f0e98727401d308688ad794b83d2dd417c1bc41328dd845f6bcd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-05T07:57:02Z",
    "title_canon_sha256": "498e7effde3da815f18a3710c51843a073bceef2b7ad850757e785623b9d49a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01568",
    "kind": "arxiv",
    "version": 5
  }
}