Pith Number

pith:JZDI4NN4

pith:2024:JZDI4NN4V4UZPEOTPQUJPHXUJ6

not attested not anchored not stored refs pending

A quantum space of Euclidean lines

Piotr Stachura

arxiv:2411.15977 v1 · 2024-11-24 · math.QA · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZDI4NN4V4UZPEOTPQUJPHXUJ6}

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	2026-07-05T09:40:01.965647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e468e35bcaf299791d37c28979ef44fa67a81bed1617bee686dd4f7e0390da3

Aliases

arxiv: 2411.15977 · arxiv_version: 2411.15977v1 · doi: 10.48550/arxiv.2411.15977 · pith_short_12: JZDI4NN4V4UZ · pith_short_16: JZDI4NN4V4UZPEOT · pith_short_8: JZDI4NN4

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/JZDI4NN4V4UZPEOTPQUJPHXUJ6 \
  | 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: 4e468e35bcaf299791d37c28979ef44fa67a81bed1617bee686dd4f7e0390da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30dc1e5183ecce55f4c33d8ac207e62ca6056918ba7a5e8b1a79d151c55823fc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-11-24T20:41:39Z",
    "title_canon_sha256": "2d298810029c5e768650b8828c096ee245afb84bff36afdd8a64ebc59d0d07a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15977",
    "kind": "arxiv",
    "version": 1
  }
}