Pith Number

pith:UK45C6WP

pith:2017:UK45C6WPH7TU5DMYYBPXNX6FF6

not attested not anchored not stored refs pending

Asymptotic Behavior of Colored Jones polynomial and Turaev-Viro Invariant of figure eight knot

Ka Ho Wong, Thomas Kwok-keung Au

arxiv:1711.11290 v3 · 2017-11-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK45C6WPH7TU5DMYYBPXNX6FF6}

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

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}

Receipt and verification

First computed	2026-07-05T04:19:28.168528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b9d17acf3fe74e8d98c05f76dfc52facc6bd1edb3e034fcf5d47daf0b54446

Aliases

arxiv: 1711.11290 · arxiv_version: 1711.11290v3 · doi: 10.48550/arxiv.1711.11290 · pith_short_12: UK45C6WPH7TU · pith_short_16: UK45C6WPH7TU5DMY · pith_short_8: UK45C6WP

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/UK45C6WPH7TU5DMYYBPXNX6FF6 \
  | 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: a2b9d17acf3fe74e8d98c05f76dfc52facc6bd1edb3e034fcf5d47daf0b54446

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f30bc4c4d8647115bd894c2496cc6bfb8e7dc92559523830cf34f94e1c3605bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-30T09:48:26Z",
    "title_canon_sha256": "a65b9cdd8adcb31bd97e7ee19791efe165cad872a77aeb516c21e61932265bdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11290",
    "kind": "arxiv",
    "version": 3
  }
}