Pith Number

pith:3BEYTC2F

pith:2014:3BEYTC2FR5WVTLXICRR2CXJLON

not attested not anchored not stored refs pending

Torus knots and quantum modular forms

Jeremy Lovejoy, Kazuhiro Hikami

arxiv:1409.6243 v1 · 2014-09-22 · math.NT · 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{3BEYTC2FR5WVTLXICRR2CXJLON}

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	2026-05-18T02:42:13.520328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d849898b458f6d59aee81463a15d2b7352fd9a4eebc7a2ae0b15d79a6525cd21

Aliases

arxiv: 1409.6243 · arxiv_version: 1409.6243v1 · doi: 10.48550/arxiv.1409.6243 · pith_short_12: 3BEYTC2FR5WV · pith_short_16: 3BEYTC2FR5WVTLXI · pith_short_8: 3BEYTC2F

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/3BEYTC2FR5WVTLXICRR2CXJLON \
  | 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: d849898b458f6d59aee81463a15d2b7352fd9a4eebc7a2ae0b15d79a6525cd21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0f5883ad878be29cd4fb38697e4aebd5880528e2bd8fbad0ddbdd8eb0ef8591",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-22T16:52:03Z",
    "title_canon_sha256": "0f66f45ae3f99c8a33b01bb37c05989dfcfa992d6ad5b1302615a25724fe6217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6243",
    "kind": "arxiv",
    "version": 1
  }
}