Pith Number

pith:WAJ52JMT

pith:2014:WAJ52JMTFOWPY24FHMI7SNIGUM

not attested not anchored not stored refs pending

Multivariate Spectral Multipliers

B{\l}a\.zej Wr\'obel

arxiv:1407.2393 v1 · 2014-07-09 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAJ52JMTFOWPY24FHMI7SNIGUM}

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	2026-05-18T02:48:01.689569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b013dd25932bacfc6b853b11f93506a30a5cdc9e8fba01aa8e3c582e0d31e359

Aliases

arxiv: 1407.2393 · arxiv_version: 1407.2393v1 · doi: 10.48550/arxiv.1407.2393 · pith_short_12: WAJ52JMTFOWP · pith_short_16: WAJ52JMTFOWPY24F · pith_short_8: WAJ52JMT

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/WAJ52JMTFOWPY24FHMI7SNIGUM \
  | 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: b013dd25932bacfc6b853b11f93506a30a5cdc9e8fba01aa8e3c582e0d31e359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb77c111a0e1520b001f24809a00e2eebccdb90b6f6e01eba3afc5fa419687c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-09T09:05:03Z",
    "title_canon_sha256": "8182fc15467d46293f721af40948197c7f8c7ea4c9d31d703222dbe647dd626b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2393",
    "kind": "arxiv",
    "version": 1
  }
}