Pith Number

pith:OT352DJC

pith:2024:OT352DJCD7LZZNQPV3UC4AHIZL

not attested not anchored not stored refs pending

Eigenvalue estimates and applications on weighted manifolds

A. C. Bezerra, F. Manfio, T. Castro Silva

arxiv:2412.09396 v4 · 2024-12-12 · 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{OT352DJCD7LZZNQPV3UC4AHIZL}

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	2026-06-26T00:15:21.831740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f7dd0d221fd79cb60faee82e00e8caca21189fe80a42b7adbb323aac7b8fd5

Aliases

arxiv: 2412.09396 · arxiv_version: 2412.09396v4 · doi: 10.48550/arxiv.2412.09396 · pith_short_12: OT352DJCD7LZ · pith_short_16: OT352DJCD7LZZNQP · pith_short_8: OT352DJC

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/OT352DJCD7LZZNQPV3UC4AHIZL \
  | 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: 74f7dd0d221fd79cb60faee82e00e8caca21189fe80a42b7adbb323aac7b8fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a779fb2517bbc7b117f69f537c19711a107e1627021524d6ade81a84963e2ce9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-12-12T16:00:44Z",
    "title_canon_sha256": "db5c07c149dd434b2c9c176bdfe2c58a66adfc7ae13826c10b286af0ae1c62d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09396",
    "kind": "arxiv",
    "version": 4
  }
}