Pith Number

pith:VRML53AR

pith:2013:VRML53ARMC7WQTQASS3KZRF6UW

not attested not anchored not stored refs pending

Which traces are spectral?

D. Zanin, F. Sukochev

arxiv:1311.0937 v1 · 2013-11-05 · 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{VRML53ARMC7WQTQASS3KZRF6UW}

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	2026-05-18T03:07:56.011192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac58beec1160bf684e0094b6acc4bea5997c4930c1a23edb940364b71bc2a0d9

Aliases

arxiv: 1311.0937 · arxiv_version: 1311.0937v1 · doi: 10.48550/arxiv.1311.0937 · pith_short_12: VRML53ARMC7W · pith_short_16: VRML53ARMC7WQTQA · pith_short_8: VRML53AR

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/VRML53ARMC7WQTQASS3KZRF6UW \
  | 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: ac58beec1160bf684e0094b6acc4bea5997c4930c1a23edb940364b71bc2a0d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b38a0f58668d0d41f187da3ed2d4c0d65be389661e0b579e1355f32dedd82ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-11-05T00:56:00Z",
    "title_canon_sha256": "e66dad06db891805485c1c44c0ab09f9bdafbf0ad069765719933b4abde379d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0937",
    "kind": "arxiv",
    "version": 1
  }
}