Pith Number

pith:JKJB5CK4

pith:2011:JKJB5CK4A2W6ZNERRFDA77RVST

not attested not anchored not stored refs pending

Multipliers for Continuous Frames in Hilbert Spaces

Asghar Rahimi, Dominik Bayer, Peter Balazs

arxiv:1111.2440 v2 · 2011-11-10 · 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{JKJB5CK4A2W6ZNERRFDA77RVST}

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	2026-05-18T01:59:42.683749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a921e895c06adecb49189460ffe3594f8bb376fbf9545bcc665b0d2b250d560

Aliases

arxiv: 1111.2440 · arxiv_version: 1111.2440v2 · doi: 10.48550/arxiv.1111.2440 · pith_short_12: JKJB5CK4A2W6 · pith_short_16: JKJB5CK4A2W6ZNER · pith_short_8: JKJB5CK4

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/JKJB5CK4A2W6ZNERRFDA77RVST \
  | 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: 4a921e895c06adecb49189460ffe3594f8bb376fbf9545bcc665b0d2b250d560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6852fa53764ed388bca0a9823660a693817096890976797e37eff87f5bf10128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-10T10:23:00Z",
    "title_canon_sha256": "cd03c87575c41cf4c617efd939a50cc24d5cbef146ec4d2fa29085e4e570016c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2440",
    "kind": "arxiv",
    "version": 2
  }
}