Pith Number

pith:KT7KHQ57

pith:2012:KT7KHQ577OAHNWRPN4CWQV7KFN

not attested not anchored not stored refs pending

Essential spectrum of a class of Riemannian manifolds

J. Fabio Montenegro, Luiz Antonio C. Monte

arxiv:1205.5428 v5 · 2012-05-24 · 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{KT7KHQ577OAHNWRPN4CWQV7KFN}

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	2026-05-18T03:49:57.884888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fea3c3bffb8076da2f6f056857ea2b63befc574035a0c74331068e3977adec

Aliases

arxiv: 1205.5428 · arxiv_version: 1205.5428v5 · doi: 10.48550/arxiv.1205.5428 · pith_short_12: KT7KHQ577OAH · pith_short_16: KT7KHQ577OAHNWRP · pith_short_8: KT7KHQ57

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/KT7KHQ577OAHNWRPN4CWQV7KFN \
  | 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: 54fea3c3bffb8076da2f6f056857ea2b63befc574035a0c74331068e3977adec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9de584e82a9ffd040eec0c208150667ee64bd2a1ff06fc51f93300a46242eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-24T13:07:11Z",
    "title_canon_sha256": "e368b1db4cf0bf6dd8a4c63db8ea89c8228638f5f3ea4d4c6f59d7e8d783f6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5428",
    "kind": "arxiv",
    "version": 5
  }
}