Pith Number

pith:4ZKRAUJV

pith:2011:4ZKRAUJV4JH5ANV2GN25EUWLYJ

not attested not anchored not stored refs pending

Strongly isospectral manifolds with nonisomorphic cohomology rings

Emilio A. Lauret, Juan Pablo Rossetti, Roberto J. Miatello

arxiv:1103.0249 v2 · 2011-03-01 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZKRAUJV4JH5ANV2GN25EUWLYJ}

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	2026-05-18T03:03:33.029293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e655105135e24fd036ba3375d252cbc277e7da22c6d25492071f76a4ce92deb3

Aliases

arxiv: 1103.0249 · arxiv_version: 1103.0249v2 · doi: 10.48550/arxiv.1103.0249 · pith_short_12: 4ZKRAUJV4JH5 · pith_short_16: 4ZKRAUJV4JH5ANV2 · pith_short_8: 4ZKRAUJV

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/4ZKRAUJV4JH5ANV2GN25EUWLYJ \
  | 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: e655105135e24fd036ba3375d252cbc277e7da22c6d25492071f76a4ce92deb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc9eb5e9d71b50b17a2ab6de648bec9b1f8c5afcdfd4ba46a61fbcaf9d5b9a8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-01T18:51:58Z",
    "title_canon_sha256": "06d51b17c562acc989ee7fe2e8aef22baa4686dd7bf2e7a0ed985f90d9e3a8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0249",
    "kind": "arxiv",
    "version": 2
  }
}