Pith Number

pith:3MWNAHSM

pith:2011:3MWNAHSMA65AIBJJQG52DZTVEB

not attested not anchored not stored refs pending

The reconstruction formula for Banach frames and duality

Daniel Carando, Pablo Schmidberg, Silvia Lassalle

arxiv:1101.2430 v1 · 2011-01-12 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MWNAHSMA65AIBJJQG52DZTVEB}

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	2026-05-18T04:31:43.049698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2cd01e4c07ba04052981bba1e675207d607166cff7e6f2c5c860b4daec8c8c

Aliases

arxiv: 1101.2430 · arxiv_version: 1101.2430v1 · doi: 10.48550/arxiv.1101.2430 · pith_short_12: 3MWNAHSMA65A · pith_short_16: 3MWNAHSMA65AIBJJ · pith_short_8: 3MWNAHSM

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/3MWNAHSMA65AIBJJQG52DZTVEB \
  | 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: db2cd01e4c07ba04052981bba1e675207d607166cff7e6f2c5c860b4daec8c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a5a0710f14296974be0fdc6943f13f180f73722de4a6247d4d95e64c2d347f4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-12T19:30:06Z",
    "title_canon_sha256": "95899b6f0368a74bc2e9d8eade466bd0de216734e948047ca79f1ad5c927e6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2430",
    "kind": "arxiv",
    "version": 1
  }
}