Pith Number

pith:HT4GIYDB

pith:2016:HT4GIYDBTWXGZG3E2T4GIH55NN

not attested not anchored not stored refs pending

Phase retrieval in the general setting of continuous frames for Banach spaces

Philipp Grohs, Rima Alaifari

arxiv:1604.03163 v2 · 2016-04-11 · 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{HT4GIYDBTWXGZG3E2T4GIH55NN}

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	2026-05-18T00:54:10.786191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf86460619dae6c9b64d4f8641fbd6b4ed1f5b45bb95e879f044c68abc8f537

Aliases

arxiv: 1604.03163 · arxiv_version: 1604.03163v2 · doi: 10.48550/arxiv.1604.03163 · pith_short_12: HT4GIYDBTWXG · pith_short_16: HT4GIYDBTWXGZG3E · pith_short_8: HT4GIYDB

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/HT4GIYDBTWXGZG3E2T4GIH55NN \
  | 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: 3cf86460619dae6c9b64d4f8641fbd6b4ed1f5b45bb95e879f044c68abc8f537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50aef6a13a0c9b1ef0337a14272454b79caa4f0caff6c9ce5b15ccea2c4cf2da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-11T22:01:39Z",
    "title_canon_sha256": "741936c69d2590e42a14704f862ffe97165cc116985594a13540c31e6f563329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03163",
    "kind": "arxiv",
    "version": 2
  }
}