Pith Number

pith:4FP7JBBM

pith:2011:4FP7JBBM2YJ47IJ7SFPQIOV5DI

not attested not anchored not stored refs pending

Twistor Theory for co-CR quaternionic manifolds and related structures

Radu Pantilie, Stefano Marchiafava

arxiv:1106.5431 v1 · 2011-06-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FP7JBBM2YJ47IJ7SFPQIOV5DI}

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	2026-05-18T04:19:13.647341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369

Aliases

arxiv: 1106.5431 · arxiv_version: 1106.5431v1 · doi: 10.48550/arxiv.1106.5431 · pith_short_12: 4FP7JBBM2YJ4 · pith_short_16: 4FP7JBBM2YJ47IJ7 · pith_short_8: 4FP7JBBM

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/4FP7JBBM2YJ47IJ7SFPQIOV5DI \
  | 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: e15ff4842cd613cfa13f915f043abd1a233b64fc5fc3c3fedecc0efcf3b13369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753d5e39ea5422ac961a082dd48576d60c6558df79c31dab4e3ce87f44f731ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-27T16:23:01Z",
    "title_canon_sha256": "b28643aa39278d4ace8afb309382c3838e2f9924f47df91a7d221205014f85f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5431",
    "kind": "arxiv",
    "version": 1
  }
}