Pith Number

pith:Q5E4UDIA

pith:2010:Q5E4UDIARI5PUUWL2SZZY357JR

not attested not anchored not stored refs pending

Variations on a theme of Beurling

Ronald G. Douglas

arxiv:1009.4427 v1 · 2010-09-22 · math.FA · 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{Q5E4UDIARI5PUUWL2SZZY357JR}

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.

Cited by

1 paper in Pith

ELSA: Exact Linear-Scan Attention for Fast and Memory-Light Vision Transformers

Receipt and verification

First computed	2026-05-18T04:40:33.141632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8749ca0d008a3afa52cbd4b39c6fbf4c6c751b203a0cdaafa8ac080bc3474436

Aliases

arxiv: 1009.4427 · arxiv_version: 1009.4427v1 · doi: 10.48550/arxiv.1009.4427 · pith_short_12: Q5E4UDIARI5P · pith_short_16: Q5E4UDIARI5PUUWL · pith_short_8: Q5E4UDIA

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/Q5E4UDIARI5PUUWL2SZZY357JR \
  | 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: 8749ca0d008a3afa52cbd4b39c6fbf4c6c751b203a0cdaafa8ac080bc3474436

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51def41eaa5229fc01eb2cc8b1b9785558596cbe02b6e2e5619503f651c7908",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-22T17:07:16Z",
    "title_canon_sha256": "bb978f4a763f5f8fffa2faaa344a520e3b39a84b10662b0efe766dbb620caa44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4427",
    "kind": "arxiv",
    "version": 1
  }
}