Pith Number

pith:XDSI6FZH

pith:2014:XDSI6FZHRZ5KG3GJRA55SYGP4A

not attested not anchored not stored refs pending

Localization and projections on bi-parameter BMO

Paul F.X. M\"uller, Richard Lechner

arxiv:1410.8786 v4 · 2014-10-31 · 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{XDSI6FZHRZ5KG3GJRA55SYGP4A}

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	2026-05-18T00:04:24.520972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e48f17278e7aa36cc9883bd960cfe004604394e82c97081973c03ea3110225

Aliases

arxiv: 1410.8786 · arxiv_version: 1410.8786v4 · doi: 10.48550/arxiv.1410.8786 · pith_short_12: XDSI6FZHRZ5K · pith_short_16: XDSI6FZHRZ5KG3GJ · pith_short_8: XDSI6FZH

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/XDSI6FZHRZ5KG3GJRA55SYGP4A \
  | 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: b8e48f17278e7aa36cc9883bd960cfe004604394e82c97081973c03ea3110225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71340d9ede1ade2b70e9235c3c0bfbc953362869dda6f3629c90dafb83e31da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-31T16:02:25Z",
    "title_canon_sha256": "6e7a5135359ae513e8634e71382549f34b79ed718b0369798e725de39cb8d20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8786",
    "kind": "arxiv",
    "version": 4
  }
}