Pith Number

pith:4LII5YDW

pith:2014:4LII5YDWBWXAH7GV7T2HIDOLE5

not attested not anchored not stored refs pending

Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information

Moritz Weber, Roland Speicher, Tobias Mai

arxiv:1407.5715 v2 · 2014-07-22 · 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{4LII5YDWBWXAH7GV7T2HIDOLE5}

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	2026-05-18T02:26:38.921226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d08ee0760dae03fcd5fcf4740dcb27538bbcb83b83b5ae86947cd890d43de1

Aliases

arxiv: 1407.5715 · arxiv_version: 1407.5715v2 · doi: 10.48550/arxiv.1407.5715 · pith_short_12: 4LII5YDWBWXA · pith_short_16: 4LII5YDWBWXAH7GV · pith_short_8: 4LII5YDW

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/4LII5YDWBWXAH7GV7T2HIDOLE5 \
  | 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: e2d08ee0760dae03fcd5fcf4740dcb27538bbcb83b83b5ae86947cd890d43de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec69956740bb45914d41992e9a73f774f34cb121b6b32432218cebcc93d927e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-22T02:44:30Z",
    "title_canon_sha256": "d2681955ac672c25d3b9a5ec968a4e30b27adae0df22adc8da9e3044e3857a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5715",
    "kind": "arxiv",
    "version": 2
  }
}