Pith Number

pith:WPJY7G33

pith:2015:WPJY7G33JCOHW6KQGPAGVFSA6H

not attested not anchored not stored refs pending

Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension

Moritz Weber, Roland Speicher, Tobias Mai

arxiv:1502.06357 v2 · 2015-02-23 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPJY7G33JCOHW6KQGPAGVFSA6H}

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	2026-05-18T01:34:13.046609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d38f9b7b489c7b795033c06a9640f1d75dbc47722e5ab23bfad2db37e4c094

Aliases

arxiv: 1502.06357 · arxiv_version: 1502.06357v2 · doi: 10.48550/arxiv.1502.06357 · pith_short_12: WPJY7G33JCOH · pith_short_16: WPJY7G33JCOHW6KQ · pith_short_8: WPJY7G33

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/WPJY7G33JCOHW6KQGPAGVFSA6H \
  | 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: b3d38f9b7b489c7b795033c06a9640f1d75dbc47722e5ab23bfad2db37e4c094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b32e61e97e3c04c376fe7564ad7b9fb94cdb7114b6db8cb7af53708e300c8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-23T09:31:36Z",
    "title_canon_sha256": "31b1d4cedebf2c62207b648fa3925f437e336c3f4fd0ec5a15c0f8ae3bb6e7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06357",
    "kind": "arxiv",
    "version": 2
  }
}