Pith Number

pith:NVWEXBF7

pith:2018:NVWEXBF7E7GEAUBWUY2OKDSOAJ

not attested not anchored not stored refs pending

Phase transitions on C*-algebras arising from number fields and the generalized Furstenberg conjecture

Jacqueline M. Warren, Marcelo Laca

arxiv:1801.07802 v1 · 2018-01-23 · 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{NVWEXBF7E7GEAUBWUY2OKDSOAJ}

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	2026-05-18T00:25:10.822787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d6c4b84bf27cc405036a634e50e4e02445f81a45e0c06bd281b9c5b1a932772

Aliases

arxiv: 1801.07802 · arxiv_version: 1801.07802v1 · doi: 10.48550/arxiv.1801.07802 · pith_short_12: NVWEXBF7E7GE · pith_short_16: NVWEXBF7E7GEAUBW · pith_short_8: NVWEXBF7

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/NVWEXBF7E7GEAUBWUY2OKDSOAJ \
  | 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: 6d6c4b84bf27cc405036a634e50e4e02445f81a45e0c06bd281b9c5b1a932772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b13775fa1400f8712c03528c04e8e0c1815b8f1903048c671f29df5ef809b95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-01-23T22:56:03Z",
    "title_canon_sha256": "48838b1c059925031ad851b71c4c4d008019f55cd6ae46543eddf264a910c330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07802",
    "kind": "arxiv",
    "version": 1
  }
}