Pith Number

pith:CLARS3JL

pith:2016:CLARS3JLAHYFODFDMKGQXJT5DS

not attested not anchored not stored refs pending

Fivebranes and 3-manifold homology

Cumrun Vafa, Pavel Putrov, Sergei Gukov

arxiv:1602.05302 v1 · 2016-02-17 · hep-th · math-ph · math.GT · 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{CLARS3JLAHYFODFDMKGQXJT5DS}

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

A supergroup series for knot complements

Receipt and verification

First computed	2026-05-18T00:39:03.152289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12c1196d2b01f0570ca3628d0ba67d1c8897b68c396863596937278a805bdefd

Aliases

arxiv: 1602.05302 · arxiv_version: 1602.05302v1 · doi: 10.48550/arxiv.1602.05302 · pith_short_12: CLARS3JLAHYF · pith_short_16: CLARS3JLAHYFODFD · pith_short_8: CLARS3JL

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/CLARS3JLAHYFODFDMKGQXJT5DS \
  | 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: 12c1196d2b01f0570ca3628d0ba67d1c8897b68c396863596937278a805bdefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b335b8ebebe80a6da5da37c2bf005440c5fba4015ee5aeba64850c772120fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-17T05:09:28Z",
    "title_canon_sha256": "ed85a394c92a079d994f5d5e0596e9d7b19360ef109796bfdf156b40ece6efb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05302",
    "kind": "arxiv",
    "version": 1
  }
}