Pith Number

pith:4ERM7CCB

pith:2000:4ERM7CCBLNIWECITRAHWMNAMNM

not attested not anchored not stored refs pending

On the spectrum of Dehn twists in quantum Teichmuller theory

R. M. Kashaev

arxiv:math/0008148 v1 · 2000-08-18 · math.QA · hep-th · 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{4ERM7CCBLNIWECITRAHWMNAMNM}

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

An observer's quantization of 3d de Sitter

Receipt and verification

First computed	2026-05-18T00:37:07.991644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e122cf88415b51620913880f66340c6b274064e4d984d3117a49e6133292b07c

Aliases

arxiv: math/0008148 · arxiv_version: math/0008148v1 · doi: 10.48550/arxiv.math/0008148 · pith_short_12: 4ERM7CCBLNIW · pith_short_16: 4ERM7CCBLNIWECIT · pith_short_8: 4ERM7CCB

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/4ERM7CCBLNIWECITRAHWMNAMNM \
  | 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: e122cf88415b51620913880f66340c6b274064e4d984d3117a49e6133292b07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515a5ad7f52dde01245f7a6fa1bf1d33103d2cf139e0b506d586fae7fbc3ecdf",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-08-18T12:36:24Z",
    "title_canon_sha256": "aa402781a8b40ec94fc87391767965b57e7f819d50d8b0c39d67d3fcbc996be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008148",
    "kind": "arxiv",
    "version": 1
  }
}