Pith Number

pith:HY7RDUPD

pith:2026:HY7RDUPD2QYRWOG3O2KBICWOED

not attested not anchored not stored refs pending

Illumination Bodies in Projective Geometries

Elisabeth M. Werner, Florian Besau, Rotem Assouline

arxiv:2605.25122 v1 · 2026-05-24 · math.MG · 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{HY7RDUPD2QYRWOG3O2KBICWOED}

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	2026-05-26T02:04:19.079297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3f11d1e3d4311b38db7694140ace20d8e1467699610acdab6f0e1f81656469

Aliases

arxiv: 2605.25122 · arxiv_version: 2605.25122v1 · doi: 10.48550/arxiv.2605.25122 · pith_short_12: HY7RDUPD2QYR · pith_short_16: HY7RDUPD2QYRWOG3 · pith_short_8: HY7RDUPD

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/HY7RDUPD2QYRWOG3O2KBICWOED \
  | 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: 3e3f11d1e3d4311b38db7694140ace20d8e1467699610acdab6f0e1f81656469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e180601089d310c50ff017e852990bb32bf0da24ad9fdd20d8e7a505a5e71fe9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-24T15:08:42Z",
    "title_canon_sha256": "d5136dba25bb0be3cae3d6a6c2f2302a847b42683f7ff334df034e50bf6180d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25122",
    "kind": "arxiv",
    "version": 1
  }
}