Pith Number

pith:LCCB4HNJ

pith:2013:LCCB4HNJ63HO6I2F4N2WPEVDAQ

not attested not anchored not stored refs pending

A refined upper bound for the hyperbolic volume of alternating links and the colored Jones polynomial

Anastasiia Tsvietkova, Oliver Dasbach

arxiv:1310.0788 v5 · 2013-10-02 · 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{LCCB4HNJ63HO6I2F4N2WPEVDAQ}

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	2026-05-18T01:35:16.813081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58841e1da9f6ceef2345e3756792a3041e2c4f1f545738ae30a1c052a5080b79

Aliases

arxiv: 1310.0788 · arxiv_version: 1310.0788v5 · doi: 10.48550/arxiv.1310.0788 · pith_short_12: LCCB4HNJ63HO · pith_short_16: LCCB4HNJ63HO6I2F · pith_short_8: LCCB4HNJ

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/LCCB4HNJ63HO6I2F4N2WPEVDAQ \
  | 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: 58841e1da9f6ceef2345e3756792a3041e2c4f1f545738ae30a1c052a5080b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c0a47b8f0cad5c2cb668de76d29051993b9ef4a61b3782aadd02a1f63c1695",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-02T17:58:20Z",
    "title_canon_sha256": "3de00f60c98b22036cf4122a81a8092d1437ff6ac990e26d49268938316867db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0788",
    "kind": "arxiv",
    "version": 5
  }
}