Pith Number

pith:5PCU5KU2

pith:2020:5PCU5KU2VJRKQ5VZDNHTW77U34

not attested not anchored not stored refs pending

Gluing Noncommutative Twistor Spaces

Matilde Marcolli, Roger Penrose

arxiv:2012.02823 v1 · 2020-12-04 · math-ph · 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{5PCU5KU2VJRKQ5VZDNHTW77U34}

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

2 papers in Pith

Schwarzschild black holes from twistor space

Cyclic source pairings for Penrose--Sparling non-Hausdorff twistor spaces

Receipt and verification

First computed	2026-07-05T01:57:22.851353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc54eaa9aaa62a876b91b4f3b7ff4df0e07742d9c325ee39dc4a56f21160ce7

Aliases

arxiv: 2012.02823 · arxiv_version: 2012.02823v1 · doi: 10.48550/arxiv.2012.02823 · pith_short_12: 5PCU5KU2VJRK · pith_short_16: 5PCU5KU2VJRKQ5VZ · pith_short_8: 5PCU5KU2

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/5PCU5KU2VJRKQ5VZDNHTW77U34 \
  | 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: ebc54eaa9aaa62a876b91b4f3b7ff4df0e07742d9c325ee39dc4a56f21160ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fddb725fd343d4f4e9863ee2c8432e792339f79f32e491a7a2eed30a9264412f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-12-04T19:56:12Z",
    "title_canon_sha256": "ece042c9c18be2ca0d597762b2d16cd6224254d109238e5307d72dd208406d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02823",
    "kind": "arxiv",
    "version": 1
  }
}