Pith Number

pith:Z6HU5NUC

pith:2026:Z6HU5NUCMAZUB4XCG6PUHPFIBQ

not attested not anchored not stored refs pending

Illumination bodies on Riemannian manifolds

Carsten Sch\"utt, Elisabeth M. Werner, Rotem Assouline

arxiv:2606.21112 v1 · 2026-06-19 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6HU5NUCMAZUB4XCG6PUHPFIBQ}

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	2026-06-23T01:12:30.320406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf8f4eb682603340f2e2379f43bca80c295fbefc7087783e801c29c75e19c9e7

Aliases

arxiv: 2606.21112 · arxiv_version: 2606.21112v1 · doi: 10.48550/arxiv.2606.21112 · pith_short_12: Z6HU5NUCMAZU · pith_short_16: Z6HU5NUCMAZUB4XC · pith_short_8: Z6HU5NUC

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/Z6HU5NUCMAZUB4XCG6PUHPFIBQ \
  | 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: cf8f4eb682603340f2e2379f43bca80c295fbefc7087783e801c29c75e19c9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8872105d5003713920028551ba3dc8dc1df8030f314b27219a3853c7b1ce1a4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-19T05:30:35Z",
    "title_canon_sha256": "22fbfa5522f7ad8b5f4c7c4dc8f153fc0080c0ee400d9703b57cca71d983cc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21112",
    "kind": "arxiv",
    "version": 1
  }
}