Pith Number

pith:GFCITUXN

pith:2013:GFCITUXNBXURMSDII4MK7T44PZ

not attested not anchored not stored refs pending

Eigenvalues of the Laplacian on a compact manifold with density

Ahmad El Soufi (LMPT), Alessandro Savo (MeMoMat), Bruno Colbois

arxiv:1310.1490 v1 · 2013-10-05 · 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{GFCITUXNBXURMSDII4MK7T44PZ}

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	2026-05-18T02:42:46.594936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314489d2ed0de91648684718afcf9c7e4dff54d97e555b6838464620c82e0a8a

Aliases

arxiv: 1310.1490 · arxiv_version: 1310.1490v1 · doi: 10.48550/arxiv.1310.1490 · pith_short_12: GFCITUXNBXUR · pith_short_16: GFCITUXNBXURMSDI · pith_short_8: GFCITUXN

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/GFCITUXNBXURMSDII4MK7T44PZ \
  | 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: 314489d2ed0de91648684718afcf9c7e4dff54d97e555b6838464620c82e0a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e1ca04ce456cabbc7db857cfecf4cac18c1db93b56ca85ba628731edc7461e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-10-05T16:25:19Z",
    "title_canon_sha256": "de75a44626d509e373fbb52df956a7b64ec93a61e3f879f99a7e6608b5facd3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1490",
    "kind": "arxiv",
    "version": 1
  }
}