Pith Number

pith:F4P4572D

pith:2015:F4P4572DMPJHPHQ5AZBOUG4XX4

not attested not anchored not stored refs pending

From vertex operator algebras to conformal nets and back

Mih\'aly Weiner, Roberto Longo, Sebastiano Carpi, Yasuyuki Kawahigashi

arxiv:1503.01260 v4 · 2015-03-04 · math.OA · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4P4572DMPJHPHQ5AZBOUG4XX4}

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	2026-05-18T00:03:50.663999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1fceff4363d2779e1d0642ea1b97bf20897eb9e9a96f2bd6426fb296f566bf

Aliases

arxiv: 1503.01260 · arxiv_version: 1503.01260v4 · doi: 10.48550/arxiv.1503.01260 · pith_short_12: F4P4572DMPJH · pith_short_16: F4P4572DMPJHPHQ5 · pith_short_8: F4P4572D

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/F4P4572DMPJHPHQ5AZBOUG4XX4 \
  | 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: 2f1fceff4363d2779e1d0642ea1b97bf20897eb9e9a96f2bd6426fb296f566bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "860ddfb1ef7f404395012eeea505054882323139f744d6087937d7c3253c66a5",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-03-04T09:30:35Z",
    "title_canon_sha256": "b6c39e6e02a7d1bdbc289706b91c8ab56f14135a395ea58eb4039a40a3d92b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01260",
    "kind": "arxiv",
    "version": 4
  }
}