Pith Number

pith:M236KB2U

pith:2019:M236KB2UGWOVBE4OKFYV7BILWV

not attested not anchored not stored refs pending

Geometric structures and the Laplace spectrum

Benjamin Schmidt, Craig Sutton, Samuel Lin

arxiv:1905.11454 v1 · 2019-05-27 · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M236KB2UGWOVBE4OKFYV7BILWV}

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	2026-05-17T23:44:53.354105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66b7e50754359d50938e51715f850bb54b24cf055962a7dea9b18643117afca7

Aliases

arxiv: 1905.11454 · arxiv_version: 1905.11454v1 · doi: 10.48550/arxiv.1905.11454 · pith_short_12: M236KB2UGWOV · pith_short_16: M236KB2UGWOVBE4O · pith_short_8: M236KB2U

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/M236KB2UGWOVBE4OKFYV7BILWV \
  | 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: 66b7e50754359d50938e51715f850bb54b24cf055962a7dea9b18643117afca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc88ce7e117616e1f5cb58e5eacd69d191b6cd381021e99120a4c5a58c98edb",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-27T19:07:33Z",
    "title_canon_sha256": "d085fdabb519ce57fbfff5a0c93582cbb2eec5b783c447e159425fe3b46f1cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11454",
    "kind": "arxiv",
    "version": 1
  }
}