Pith Number

pith:LUIMH626

pith:1995:LUIMH626RLA7Y4WNIHQZ44C6IM

not attested not anchored not stored refs pending

The Marked Length Spectrum Versus the Laplace Spectrum on Forms on Riemannian Nilmanifolds

Ruth Gornet

arxiv:math/9510207 v1 · 1995-10-13 · 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{LUIMH626RLA7Y4WNIHQZ44C6IM}

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	2026-05-18T01:05:48.223350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d10c3fb5e8ac1fc72cd41e19e705e4308a5b64e092c7c5df3db6997f0f8eefd

Aliases

arxiv: math/9510207 · arxiv_version: math/9510207v1 · doi: 10.48550/arxiv.math/9510207 · pith_short_12: LUIMH626RLA7 · pith_short_16: LUIMH626RLA7Y4WN · pith_short_8: LUIMH626

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/LUIMH626RLA7Y4WNIHQZ44C6IM \
  | 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: 5d10c3fb5e8ac1fc72cd41e19e705e4308a5b64e092c7c5df3db6997f0f8eefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc6c07a5acad89e9913e04b6e0fc9d7a7bebfed135726e8c01bb45364b0bf92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1995-10-13T00:00:00Z",
    "title_canon_sha256": "acef7682bcd1cf3604428564797b9485059e0ae5ec99188092566024bf75ba44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9510207",
    "kind": "arxiv",
    "version": 1
  }
}