Pith Number

pith:TZUR73XB

pith:2015:TZUR73XBXVM6KNNDT4GDPDT6EG

not attested not anchored not stored refs pending

Quantum modularity and complex Chern-Simons theory

Stavros Garoufalidis, Tudor Dimofte

arxiv:1511.05628 v1 · 2015-11-18 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZUR73XBXVM6KNNDT4GDPDT6EG}

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	2026-05-18T01:26:33.209429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e691feee1bd59e535a39f0c378e7e21bc931748a542349742785d17203e10c5

Aliases

arxiv: 1511.05628 · arxiv_version: 1511.05628v1 · doi: 10.48550/arxiv.1511.05628 · pith_short_12: TZUR73XBXVM6 · pith_short_16: TZUR73XBXVM6KNND · pith_short_8: TZUR73XB

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/TZUR73XBXVM6KNNDT4GDPDT6EG \
  | 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: 9e691feee1bd59e535a39f0c378e7e21bc931748a542349742785d17203e10c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317913202011b4e833257562f69777250ceed4282bbdcaf4902c720c479e9958",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-18T00:37:53Z",
    "title_canon_sha256": "b1d6176e461230d1efbd5e1b5ad98c2ee95f08cceda20bb78a54a6554216603c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05628",
    "kind": "arxiv",
    "version": 1
  }
}