Pith Number

pith:DB3QCKXP

pith:2015:DB3QCKXPQSVR5BA3G6JW5XXRMH

not attested not anchored not stored refs pending

Quantum Teichm\"uller spaces and quantum trace map

Thang T. Q. L\^e

arxiv:1511.06054 v4 · 2015-11-19 · 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{DB3QCKXPQSVR5BA3G6JW5XXRMH}

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

2 papers in Pith

Quantized Geodesic Lengths for Teichm\"uller Spaces: Algebraic Aspects

Kauffman bracket skein module of the connected sum of two solid tori

Receipt and verification

First computed	2026-05-17T23:52:44.801207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1877012aef84ab1e841b37936edef161c78eb1cc2053bd7bec8261bf2f1a1fe2

Aliases

arxiv: 1511.06054 · arxiv_version: 1511.06054v4 · doi: 10.48550/arxiv.1511.06054 · pith_short_12: DB3QCKXPQSVR · pith_short_16: DB3QCKXPQSVR5BA3 · pith_short_8: DB3QCKXP

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/DB3QCKXPQSVR5BA3G6JW5XXRMH \
  | 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: 1877012aef84ab1e841b37936edef161c78eb1cc2053bd7bec8261bf2f1a1fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3849c4f1e4481a5a82758e61cac08c9e85c425de2f9669df5ab7f1887041ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-19T03:56:13Z",
    "title_canon_sha256": "48a2a584814a11482cff453b5fc3779f4a3e8a8d4e9b23c6f9a54d67ed2181e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06054",
    "kind": "arxiv",
    "version": 4
  }
}