Pith Number

pith:EYSKQESF

pith:2021:EYSKQESFPBNPHHD3TJS6YZUPIT

not attested not anchored not stored refs pending

Phase retrieval for affine groups over prime fields

David Bartusel, Hartmut F\"uhr, Vignon Oussa

arxiv:2109.07123 v3 · 2021-09-15 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EYSKQESFPBNPHHD3TJS6YZUPIT}

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	2026-07-05T05:38:26.166735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2624a81245785af39c7b9a65ec668f44f880d22bb54237dcf77032620d5d028c

Aliases

arxiv: 2109.07123 · arxiv_version: 2109.07123v3 · doi: 10.48550/arxiv.2109.07123 · pith_short_12: EYSKQESFPBNP · pith_short_16: EYSKQESFPBNPHHD3 · pith_short_8: EYSKQESF

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/EYSKQESFPBNPHHD3TJS6YZUPIT \
  | 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: 2624a81245785af39c7b9a65ec668f44f880d22bb54237dcf77032620d5d028c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3730b309dec467b357716603f7de3fac7c9d2ef810bbd21feac6b9702fcd4233",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-09-15T07:17:47Z",
    "title_canon_sha256": "cb16aff9e32460fd2321fa63a4b0c40503d30974136e81b0a40c3af38fac63e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07123",
    "kind": "arxiv",
    "version": 3
  }
}