Pith Number

pith:M5IO5TPN

pith:2016:M5IO5TPNRZXGJAFFXIH2RIZD2E

not attested not anchored not stored refs pending

Intertwining operators of the quantum Teichm\"uller space

Filippo Mazzoli

arxiv:1610.06056 v1 · 2016-10-19 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5IO5TPNRZXGJAFFXIH2RIZD2E}

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	2026-05-18T01:01:50.252980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6750eecded8e6e6480a5ba0fa8a323d1165d89548f5e9cd324c71b16b33d3223

Aliases

arxiv: 1610.06056 · arxiv_version: 1610.06056v1 · doi: 10.48550/arxiv.1610.06056 · pith_short_12: M5IO5TPNRZXG · pith_short_16: M5IO5TPNRZXGJAFF · pith_short_8: M5IO5TPN

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/M5IO5TPNRZXGJAFFXIH2RIZD2E \
  | 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: 6750eecded8e6e6480a5ba0fa8a323d1165d89548f5e9cd324c71b16b33d3223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf588e653de50d698c1f435d06ff0308d59c772070c7ff649388b4da863f17c7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-19T15:14:17Z",
    "title_canon_sha256": "ac13bb3a78c3f617ff5b7493564917de9a3aafdcc537d69f4a2410be83b35ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06056",
    "kind": "arxiv",
    "version": 1
  }
}