Pith Number

pith:ECM2D63A

pith:2011:ECM2D63A7ZXIPBEUGQUNLEVIHW

not attested not anchored not stored refs pending

Beurling-Figa-Talamanca-Herz algebras

Nico Spronk, Serap Oztop, Volker Runde

arxiv:1112.4178 v2 · 2011-12-18 · 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{ECM2D63A7ZXIPBEUGQUNLEVIHW}

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	2026-05-18T03:45:41.720344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2099a1fb60fe6e8784943428d592a83db9d136951cdef534b9d06c6dd9642408

Aliases

arxiv: 1112.4178 · arxiv_version: 1112.4178v2 · doi: 10.48550/arxiv.1112.4178 · pith_short_12: ECM2D63A7ZXI · pith_short_16: ECM2D63A7ZXIPBEU · pith_short_8: ECM2D63A

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/ECM2D63A7ZXIPBEUGQUNLEVIHW \
  | 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: 2099a1fb60fe6e8784943428d592a83db9d136951cdef534b9d06c6dd9642408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42d77a36c621687a1ff00226dfc7d2f77e48984cb90b89a049b7a3ef7426274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-18T19:34:24Z",
    "title_canon_sha256": "e2ea58a03c7d3aed981b98edf7c8812955d6f40e1c9f91c34e095d1360492528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4178",
    "kind": "arxiv",
    "version": 2
  }
}