Pith Number

pith:4T5MUASO

pith:2016:4T5MUASOEDZXSOCK5W32KPO46L

not attested not anchored not stored refs pending

Frames and Phaseless Reconstruction

Radu Balan

arxiv:1601.03425 v1 · 2016-01-13 · math.FA · math.MG · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T5MUASOEDZXSOCK5W32KPO46L}

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	2026-05-18T01:22:53.549040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4faca024e20f379384aedb7a53ddcf2e7e14f47144ba3d2d92893c4bf36ae52

Aliases

arxiv: 1601.03425 · arxiv_version: 1601.03425v1 · doi: 10.48550/arxiv.1601.03425 · pith_short_12: 4T5MUASOEDZX · pith_short_16: 4T5MUASOEDZXSOCK · pith_short_8: 4T5MUASO

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/4T5MUASOEDZXSOCK5W32KPO46L \
  | 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: e4faca024e20f379384aedb7a53ddcf2e7e14f47144ba3d2d92893c4bf36ae52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b58858eeae29b01558811401224bb67a04280b242f649c83cb1ada7781d64be7",
    "cross_cats_sorted": [
      "math.MG",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-13T22:05:59Z",
    "title_canon_sha256": "df7e7c64c39ab19e0c14a5736696adc9496cd31e96b79810e3306e7630fef3d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03425",
    "kind": "arxiv",
    "version": 1
  }
}