Pith Number

pith:7UEQXMVO

pith:2012:7UEQXMVOJEVHSNYMKA5Z2RK73R

not attested not anchored not stored refs pending

The Pompeiu Problem and Discrete Groups

Michael J. Puls

arxiv:1202.2398 v3 · 2012-02-11 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UEQXMVOJEVHSNYMKA5Z2RK73R}

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	2026-05-18T03:25:25.853656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd090bb2ae492a79370c503b9d455fdc6efd1c6dcaa28e0bac2102de109ab766

Aliases

arxiv: 1202.2398 · arxiv_version: 1202.2398v3 · doi: 10.48550/arxiv.1202.2398 · pith_short_12: 7UEQXMVOJEVH · pith_short_16: 7UEQXMVOJEVHSNYM · pith_short_8: 7UEQXMVO

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/7UEQXMVOJEVHSNYMKA5Z2RK73R \
  | 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: fd090bb2ae492a79370c503b9d455fdc6efd1c6dcaa28e0bac2102de109ab766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384a52367f02b3b5841652e00e0c67f9ce6fc1acbf144513a66f279a615165cb",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-11T01:55:20Z",
    "title_canon_sha256": "a27b3997ccc3f78611c0d7141df8086ad2cdd95e25f79b28f4911dbd32991563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2398",
    "kind": "arxiv",
    "version": 3
  }
}