Pith Number

pith:HNJEMVU2

pith:2016:HNJEMVU2EQYM2DVZLB2JYYG6YC

not attested not anchored not stored refs pending

Spectrum of the Laplacian with weights

Ahmad El Soufi (LMPT), Bruno Colbois

arxiv:1606.04095 v1 · 2016-06-12 · 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{HNJEMVU2EQYM2DVZLB2JYYG6YC}

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	2026-05-18T01:12:26.076930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5246569a2430cd0eb958749c60dec08104afa41573674b9cc5fd4c119041f7

Aliases

arxiv: 1606.04095 · arxiv_version: 1606.04095v1 · doi: 10.48550/arxiv.1606.04095 · pith_short_12: HNJEMVU2EQYM · pith_short_16: HNJEMVU2EQYM2DVZ · pith_short_8: HNJEMVU2

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/HNJEMVU2EQYM2DVZLB2JYYG6YC \
  | 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: 3b5246569a2430cd0eb958749c60dec08104afa41573674b9cc5fd4c119041f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251c9fc2318f28481bd1b725dcaf7ae15384b5e96ccde7533facfa9aa704121a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-12T08:27:50Z",
    "title_canon_sha256": "e6306f11050c311fab40b5cad2e2e22f311a2f5f879eea80a22a9de7fde30b71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04095",
    "kind": "arxiv",
    "version": 1
  }
}