Pith Number

pith:JCXF3O4F

pith:2013:JCXF3O4FGH5FUUGGIDEQMWZZ64

not attested not anchored not stored refs pending

On the number of peaks of the eigenfunctions of the linearized Gel'fand problem

Francesca Gladiali, Hiroshi Ohtsuka, Massimo Grossi

arxiv:1308.3628 v1 · 2013-08-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCXF3O4FGH5FUUGGIDEQMWZZ64}

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	2026-05-18T03:15:44.395719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48ae5dbb8531fa5a50c640c9065b39f7033e712768137e9d6f4bae3585aab1ca

Aliases

arxiv: 1308.3628 · arxiv_version: 1308.3628v1 · doi: 10.48550/arxiv.1308.3628 · pith_short_12: JCXF3O4FGH5F · pith_short_16: JCXF3O4FGH5FUUGG · pith_short_8: JCXF3O4F

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/JCXF3O4FGH5FUUGGIDEQMWZZ64 \
  | 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: 48ae5dbb8531fa5a50c640c9065b39f7033e712768137e9d6f4bae3585aab1ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37278542ead2569dca92c5a2ffbf2730ace044027d8936559f59da36eddc6ad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-16T13:51:02Z",
    "title_canon_sha256": "679e994455400bd70d72353ab611cde9ad265694c141a55b24cf33d038266ef3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3628",
    "kind": "arxiv",
    "version": 1
  }
}