pith. sign in
Pith Number

pith:THL4BYJB

pith:2009:THL4BYJBNCKNIRXBWQBXGR5GU7
not attested not anchored not stored refs pending

The Modulation Mapping for Magnetic Symbols and Operators

Marius Mantoiu, Radu Purice

arxiv:0907.5399 v1 · 2009-07-30 · math.FA · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{THL4BYJBNCKNIRXBWQBXGR5GU7}

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 2026-05-18T02:48:55.269164Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

99d7c0e1216894d446e1b4037347a6a7e85180e60886a95d072583c654aa76c8

Aliases

arxiv: 0907.5399 · arxiv_version: 0907.5399v1 · doi: 10.48550/arxiv.0907.5399 · pith_short_12: THL4BYJBNCKN · pith_short_16: THL4BYJBNCKNIRXB · pith_short_8: THL4BYJB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/THL4BYJBNCKNIRXBWQBXGR5GU7 \
  | 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: 99d7c0e1216894d446e1b4037347a6a7e85180e60886a95d072583c654aa76c8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "421bcd0c78e8334edfcd897996c311eeb1a761f5afac926cd1abb7ea3032ba32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-07-30T19:21:54Z",
    "title_canon_sha256": "b27a36651df306cf1324d80fa187ce7abca67b87063e00fddf94d56dd33cb3fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5399",
    "kind": "arxiv",
    "version": 1
  }
}