pith. sign in
Pith Number

pith:G6IQS4IV

pith:2018:G6IQS4IVAMZASQWD574OS2L6NH
not attested not anchored not stored refs pending

4-manifolds and topological modular forms

Cumrun Vafa, Du Pei, Pavel Putrov, Sergei Gukov

arxiv:1811.07884 v1 · 2018-11-19 · hep-th · math-ph · math.AT · math.GT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{G6IQS4IVAMZASQWD574OS2L6NH}

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

2 papers in Pith

Receipt and verification
First computed 2026-05-18T00:00:23.230878Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

379109711503320942c3eff8e9697e69f7a1480c9b21ec6993c2445429c46924

Aliases

arxiv: 1811.07884 · arxiv_version: 1811.07884v1 · doi: 10.48550/arxiv.1811.07884 · pith_short_12: G6IQS4IVAMZA · pith_short_16: G6IQS4IVAMZASQWD · pith_short_8: G6IQS4IV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/G6IQS4IVAMZASQWD574OS2L6NH \
  | 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: 379109711503320942c3eff8e9697e69f7a1480c9b21ec6993c2445429c46924
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ea3a95a6fc6a4c3b1a7e7573fa4bb2aaf40eda81d8ca3afdfcd661ef26d19955",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-11-19T18:59:55Z",
    "title_canon_sha256": "696791f67b1f98e827f94108182800cb1bc0cec6c2e875bce65a91df3e63b2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07884",
    "kind": "arxiv",
    "version": 1
  }
}