Pith Number

pith:X3OP6D4Y

pith:2023:X3OP6D4YBYUU4ALWRLIOVHFMTS

not attested not anchored not stored refs pending

Infinite Families of Quantum Modular 3-Manifold Invariants

Eleanor Mcspirit, Louisa Liles

arxiv:2306.14765 v1 · 2023-06-26 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3OP6D4YBYUU4ALWRLIOVHFMTS}

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

Quantum invariants of 3-manifolds and links: a review

Receipt and verification

First computed	2026-07-05T06:24:40.451189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bedcff0f980e294e01768ad0ea9cac9c9af6a1f63d2e44f8ca0a7a248307bcaa

Aliases

arxiv: 2306.14765 · arxiv_version: 2306.14765v1 · doi: 10.48550/arxiv.2306.14765 · pith_short_12: X3OP6D4YBYUU · pith_short_16: X3OP6D4YBYUU4ALW · pith_short_8: X3OP6D4Y

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/X3OP6D4YBYUU4ALWRLIOVHFMTS \
  | 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: bedcff0f980e294e01768ad0ea9cac9c9af6a1f63d2e44f8ca0a7a248307bcaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a1c24b2bdfea12f788fe466013aa82bafacbe6f7a998da62439466d3b826867",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-06-26T15:19:22Z",
    "title_canon_sha256": "c550b31abbe1f88943e5bb48773ddedb856f70d2591b7fe5d2b19453c02917f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14765",
    "kind": "arxiv",
    "version": 1
  }
}