Pith Number

pith:ENTX7EEY

pith:2013:ENTX7EEYQEL2JFJ7RX26Y7VPC3

not attested not anchored not stored refs pending

Tight frames, partial isometries, and signal reconstruction

Enrico Au-Yeung, Somantika Datta

arxiv:1308.5028 v1 · 2013-08-23 · 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{ENTX7EEYQEL2JFJ7RX26Y7VPC3}

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	2026-05-18T03:15:17.594284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23677f90988117a4953f8df5ec7eaf16e5bee748ba73c62fe055884ecaeeb19b

Aliases

arxiv: 1308.5028 · arxiv_version: 1308.5028v1 · doi: 10.48550/arxiv.1308.5028 · pith_short_12: ENTX7EEYQEL2 · pith_short_16: ENTX7EEYQEL2JFJ7 · pith_short_8: ENTX7EEY

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/ENTX7EEYQEL2JFJ7RX26Y7VPC3 \
  | 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: 23677f90988117a4953f8df5ec7eaf16e5bee748ba73c62fe055884ecaeeb19b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2f71556c9fd69b486b7ebed5ae3b7462489ddfeba4cc3ecaf03a5112c1c623f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-23T02:04:19Z",
    "title_canon_sha256": "2c55a74c43e4061f989efc07e1920d3d0b015878273d0824e309a4d22cbdf30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5028",
    "kind": "arxiv",
    "version": 1
  }
}