Pith Number

pith:JF64JNEH

pith:2018:JF64JNEHDWBX6NJAOSAXFDXE6N

not attested not anchored not stored refs pending

$\mathcal{W}$-algebra Modules, Free Fields, and Gukov-Witten Defects

Miroslav Rap\v{c}\'ak, Tom\'a\v{s} Proch\'azka

arxiv:1808.08837 v1 · 2018-08-27 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF64JNEHDWBX6NJAOSAXFDXE6N}

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	2026-05-17T23:42:29.865508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497dc4b4871d837f35207481728ee4f36bd6b8db4f1278e514e7592f6755e532

Aliases

arxiv: 1808.08837 · arxiv_version: 1808.08837v1 · doi: 10.48550/arxiv.1808.08837 · pith_short_12: JF64JNEHDWBX · pith_short_16: JF64JNEHDWBX6NJA · pith_short_8: JF64JNEH

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/JF64JNEHDWBX6NJAOSAXFDXE6N \
  | 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: 497dc4b4871d837f35207481728ee4f36bd6b8db4f1278e514e7592f6755e532

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e331d7888d0b48c6d0185b31ae918a73ee8bce6d1898e7ebe8430c0669f63a0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-08-27T13:21:19Z",
    "title_canon_sha256": "1933438e0e23f6bbc346d937d5a7c0885eb36cde35b79c610dcae1e9b7798519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08837",
    "kind": "arxiv",
    "version": 1
  }
}