Pith Number

pith:AUTOO5BK

pith:2013:AUTOO5BKFQ3IVKGC772IEFA4LY

not attested not anchored not stored refs pending

Spectral Sets

Bernhard Beckermann, Catalin Badea

arxiv:1302.0546 v1 · 2013-02-03 · math.FA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUTOO5BKFQ3IVKGC772IEFA4LY}

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	2026-05-18T00:43:09.948340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0526e7742a2c368aa8c2fff482141c5e16d69933858e181799f0275f2d52a901

Aliases

arxiv: 1302.0546 · arxiv_version: 1302.0546v1 · doi: 10.48550/arxiv.1302.0546 · pith_short_12: AUTOO5BKFQ3I · pith_short_16: AUTOO5BKFQ3IVKGC · pith_short_8: AUTOO5BK

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/AUTOO5BKFQ3IVKGC772IEFA4LY \
  | 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: 0526e7742a2c368aa8c2fff482141c5e16d69933858e181799f0275f2d52a901

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ee04513dacb48a2445b3bb4f3d29cd1edf72f05ac93b03d9aa89ee7a693b59",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-03T23:22:30Z",
    "title_canon_sha256": "2db9abefa407447f734048e297692317187afda8578e911bfe411dda9299d961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0546",
    "kind": "arxiv",
    "version": 1
  }
}