Pith Number

pith:U226MIBR

pith:2012:U226MIBR5TNWAPQ2UEAXC4CJWC

not attested not anchored not stored refs pending

Sharp spectral bounds on starlike domains

Bartlomiej Siudeja, Richard Laugesen

arxiv:1209.1058 v2 · 2012-09-05 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U226MIBR5TNWAPQ2UEAXC4CJWC}

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	2026-05-18T03:21:10.574535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b5e62031ecdb603e1aa101717049b0870e557280cdc2b1c61f8d52a84a5c79

Aliases

arxiv: 1209.1058 · arxiv_version: 1209.1058v2 · doi: 10.48550/arxiv.1209.1058 · pith_short_12: U226MIBR5TNW · pith_short_16: U226MIBR5TNWAPQ2 · pith_short_8: U226MIBR

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/U226MIBR5TNWAPQ2UEAXC4CJWC \
  | 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: a6b5e62031ecdb603e1aa101717049b0870e557280cdc2b1c61f8d52a84a5c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a350c39859b2642ea4210c0d8308b93ceb5d9b3181580d77b9ee1bec9b9899e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-09-05T17:48:31Z",
    "title_canon_sha256": "b1f2e7d2f6e12a4330d62c0803f0fa5ad00559357a018c40cdeec523fccf5fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1058",
    "kind": "arxiv",
    "version": 2
  }
}