Pith Number

pith:TVDBDLC4

pith:2015:TVDBDLC4XQSTHTE74MS7CLZHEQ

not attested not anchored not stored refs pending

Phase retrieval

Jameson Cahill, John Jasper, Lindsey M. Woodland, Peter G. Casazza

arxiv:1508.06687 v1 · 2015-08-26 · 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{TVDBDLC4XQSTHTE74MS7CLZHEQ}

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	2026-05-18T01:22:36.739992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d4611ac5cbc2533cc9fe325f12f27243753733abdc9b01191da85efc979291f

Aliases

arxiv: 1508.06687 · arxiv_version: 1508.06687v1 · doi: 10.48550/arxiv.1508.06687 · pith_short_12: TVDBDLC4XQST · pith_short_16: TVDBDLC4XQSTHTE7 · pith_short_8: TVDBDLC4

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/TVDBDLC4XQSTHTE74MS7CLZHEQ \
  | 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: 9d4611ac5cbc2533cc9fe325f12f27243753733abdc9b01191da85efc979291f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6acaf73af2f35049a0500f30a8046c59b81c3475304fd0ade7535883c3f032f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-26T23:42:18Z",
    "title_canon_sha256": "709c4fcd500c0a1895ffd30ac745411fc7f2b01f5cf0b9d7a5766cf997187402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06687",
    "kind": "arxiv",
    "version": 1
  }
}