Pith Number

pith:WUVHSCTF

pith:2015:WUVHSCTF2LK3XSY4VFCSBSDMJ5

not attested not anchored not stored refs pending

Invariant measure of rotational beta expansion and a problem of Tarski

Jonathan Caalim, Shigeki Akiyama

arxiv:1509.04785 v2 · 2015-09-16 · math.DS · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUVHSCTF2LK3XSY4VFCSBSDMJ5}

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	2026-05-18T00:56:31.600588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52a790a65d2d5bbcb1ca94520c86c4f5ebf3d1d5aaffb46a07b03606ec0f81e

Aliases

arxiv: 1509.04785 · arxiv_version: 1509.04785v2 · doi: 10.48550/arxiv.1509.04785 · pith_short_12: WUVHSCTF2LK3 · pith_short_16: WUVHSCTF2LK3XSY4 · pith_short_8: WUVHSCTF

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/WUVHSCTF2LK3XSY4VFCSBSDMJ5 \
  | 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: b52a790a65d2d5bbcb1ca94520c86c4f5ebf3d1d5aaffb46a07b03606ec0f81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d6163ec770a40f2256f58a4daa9f7d57263fb1dd1dd839f5938d4d9341e38d",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-16T01:26:07Z",
    "title_canon_sha256": "55205a62e8b2e0c2a63a846f3c53a09f1589f34af631ffee30febee0dbf8c33f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04785",
    "kind": "arxiv",
    "version": 2
  }
}