Pith Number

pith:6NHOB625

pith:2024:6NHOB625TVDMKPSLTKLJ44ZN6V

not attested not anchored not stored refs pending

Reciprocal Transformations and Their Discrete Maharam Extensions

Chris Johnson

arxiv:2501.00408 v2 · 2024-12-31 · 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{6NHOB625TVDMKPSLTKLJ44ZN6V}

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	2026-07-05T11:29:34.318244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f34ee0fb5d9d46c53e4b9a969e732df54b956bf33350514a4c4544d02448f03b

Aliases

arxiv: 2501.00408 · arxiv_version: 2501.00408v2 · doi: 10.48550/arxiv.2501.00408 · pith_short_12: 6NHOB625TVDM · pith_short_16: 6NHOB625TVDMKPSL · pith_short_8: 6NHOB625

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/6NHOB625TVDMKPSLTKLJ44ZN6V \
  | 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: f34ee0fb5d9d46c53e4b9a969e732df54b956bf33350514a4c4544d02448f03b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f89aa0ac9ad39aede6397b51d4c16a844682f6c5b2038fe441823919e20abe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-31T12:07:30Z",
    "title_canon_sha256": "77086732220b243df32699b7f234523891e2e31390f4e26172492e48c77e859c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00408",
    "kind": "arxiv",
    "version": 2
  }
}