Pith Number

pith:LBT52CHN

pith:2022:LBT52CHNTDXCG4CX4TPWKRROUN

not attested not anchored not stored refs pending

Quantum triangles and imaginary geometry flow lines

Morris Ang, Pu Yu, Xin Sun

arxiv:2211.04580 v4 · 2022-11-08 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBT52CHNTDXCG4CX4TPWKRROUN}

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	2026-07-05T09:01:23.084993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5867dd08ed98ee237057e4df65462ea34d727b1ebcaf6d5fde3e1aeaad8ed1c6

Aliases

arxiv: 2211.04580 · arxiv_version: 2211.04580v4 · doi: 10.48550/arxiv.2211.04580 · pith_short_12: LBT52CHNTDXC · pith_short_16: LBT52CHNTDXCG4CX · pith_short_8: LBT52CHN

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/LBT52CHNTDXCG4CX4TPWKRROUN \
  | 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: 5867dd08ed98ee237057e4df65462ea34d727b1ebcaf6d5fde3e1aeaad8ed1c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959989b502fa9308dd53ab707393a5099d741e4bfac44a24e1de803b8f8815b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-08T22:02:29Z",
    "title_canon_sha256": "3f64d2554ae27faa11ba9c2c10d09edd12c9a35ece5af758368c1f5172f91ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.04580",
    "kind": "arxiv",
    "version": 4
  }
}