Pith Number

pith:X77Y6ZRG

pith:2019:X77Y6ZRGBUS44AB7QHCTP5BODZ

not attested not anchored not stored refs pending

Derivations and Reflection Positivity on the Quantum Cylinder

Matt McBride, Slawomir Klimek

arxiv:1901.00077 v1 · 2019-01-01 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X77Y6ZRGBUS44AB7QHCTP5BODZ}

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	2026-05-17T23:57:06.971510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfff8f66260d25ce003f81c537f42e1e7d84f21ca0b34d899c637aa7e19858d4

Aliases

arxiv: 1901.00077 · arxiv_version: 1901.00077v1 · doi: 10.48550/arxiv.1901.00077 · pith_short_12: X77Y6ZRGBUS4 · pith_short_16: X77Y6ZRGBUS44AB7 · pith_short_8: X77Y6ZRG

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/X77Y6ZRGBUS44AB7QHCTP5BODZ \
  | 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: bfff8f66260d25ce003f81c537f42e1e7d84f21ca0b34d899c637aa7e19858d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09473ea6ee1aa912e533b19d43162490dfa800d9a941b5bc0d6182fda357b3aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-01-01T02:10:13Z",
    "title_canon_sha256": "b1ea6929e21e0b0d30108bf0050e03f482692500b229f959ccc8f8473ab2ca56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00077",
    "kind": "arxiv",
    "version": 1
  }
}