pith. sign in
Pith Number

pith:7AMUIGOF

pith:2017:7AMUIGOFMQ6V67CQ56EPDBKCNL
not attested not anchored not stored refs pending

Free products in AQFT

Roberto Longo, Yoh Tanimoto, Yoshimichi Ueda

arxiv:1706.06070 v1 · 2017-06-19 · math-ph · hep-th · math.MP · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7AMUIGOFMQ6V67CQ56EPDBKCNL}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:42:08.181450Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f8194419c5643d5f7c50ef88f185426ad29248ae4792f66daa810cb0e43a73c1

Aliases

arxiv: 1706.06070 · arxiv_version: 1706.06070v1 · doi: 10.48550/arxiv.1706.06070 · pith_short_12: 7AMUIGOFMQ6V · pith_short_16: 7AMUIGOFMQ6V67CQ · pith_short_8: 7AMUIGOF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7AMUIGOFMQ6V67CQ56EPDBKCNL \
  | 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: f8194419c5643d5f7c50ef88f185426ad29248ae4792f66daa810cb0e43a73c1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "bbff29b1c19207eddcd694827bd982086bb506127488309e0f30329f2a796057",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-19T17:28:27Z",
    "title_canon_sha256": "aba4c2c6920d72a71de8054fde6d10f2ca57935762be394ebc19e553495fd1bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06070",
    "kind": "arxiv",
    "version": 1
  }
}