Pith Number

pith:MBRFNJBC

pith:2007:MBRFNJBC36UD4QDGP2DMMKJ4VW

not attested not anchored not stored refs pending

Coefficient Quantization for Frames in Banach Spaces

Andras Zsak, E. Odell, P. G. Casazza, S. J. Dilworth, Th.Schlumprecht

arxiv:0711.2484 v1 · 2007-11-15 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBRFNJBC36UD4QDGP2DMMKJ4VW}

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	2026-05-18T02:16:09.345375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

606256a422dfa83e40667e86c6293cadb7431bf5f0f3f74ada5bc2ea41a74b0c

Aliases

arxiv: 0711.2484 · arxiv_version: 0711.2484v1 · doi: 10.48550/arxiv.0711.2484 · pith_short_12: MBRFNJBC36UD · pith_short_16: MBRFNJBC36UD4QDG · pith_short_8: MBRFNJBC

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/MBRFNJBC36UD4QDGP2DMMKJ4VW \
  | 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: 606256a422dfa83e40667e86c6293cadb7431bf5f0f3f74ada5bc2ea41a74b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb19efbcf2f0670dfa13794760d3cc4c731ff78e638f1befcc24af21153cb5c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-15T19:06:29Z",
    "title_canon_sha256": "53efb54e9d8b12cd165081129b6a754ac4525ca509bce6b5bd3b26ec833ab0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2484",
    "kind": "arxiv",
    "version": 1
  }
}