Pith Number

pith:6B4LFINR

pith:2017:6B4LFINRMHE53XSWGEBZVY7TQ7

not attested not anchored not stored refs pending

Phase unwinding, or invariant subspace decompositions of Hardy spaces

Jacques Peyri\`ere, Ronald R. Coifman

arxiv:1707.04844 v2 · 2017-07-16 · 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{6B4LFINRMHE53XSWGEBZVY7TQ7}

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	2026-05-18T00:16:23.711859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f078b2a1b161c9ddde5631039ae3f387ccda1e31401aee0bca444eae709946d5

Aliases

arxiv: 1707.04844 · arxiv_version: 1707.04844v2 · doi: 10.48550/arxiv.1707.04844 · pith_short_12: 6B4LFINRMHE5 · pith_short_16: 6B4LFINRMHE53XSW · pith_short_8: 6B4LFINR

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/6B4LFINRMHE53XSWGEBZVY7TQ7 \
  | 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: f078b2a1b161c9ddde5631039ae3f387ccda1e31401aee0bca444eae709946d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377ef4ad4b39aaaf95361a4aa11e748c7b02500fce257a3ef5a90007fedeaa79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-07-16T08:20:40Z",
    "title_canon_sha256": "d839906108d68cc81d9f783824bb1e6d62a38e12c4d660dea0f0cbdfbd419176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04844",
    "kind": "arxiv",
    "version": 2
  }
}