Pith Number

pith:N3PCXGVR

pith:2018:N3PCXGVR5DSKOZJEVTT5Z5FKE3

not attested not anchored not stored refs pending

Energy properties of critical Kirchhoff problems with applications

Alexandru Krist\'aly, Csaba Farkas, Francesca Faraci

arxiv:1810.07537 v1 · 2018-10-17 · 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{N3PCXGVR5DSKOZJEVTT5Z5FKE3}

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	2026-05-18T00:02:55.966385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ede2b9ab1e8e4a76524ace7dcf4aa26e02850809e62fbf496e3210e95c55e1a

Aliases

arxiv: 1810.07537 · arxiv_version: 1810.07537v1 · doi: 10.48550/arxiv.1810.07537 · pith_short_12: N3PCXGVR5DSK · pith_short_16: N3PCXGVR5DSKOZJE · pith_short_8: N3PCXGVR

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/N3PCXGVR5DSKOZJEVTT5Z5FKE3 \
  | 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: 6ede2b9ab1e8e4a76524ace7dcf4aa26e02850809e62fbf496e3210e95c55e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b551d167078b902d0deb2a71ff7fb805729e45aa9cdc0050fd62368d0b4d92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-17T13:40:57Z",
    "title_canon_sha256": "92fac4a8a090e639d07541d5a7ae4e1a06eeef01b92ccdf028696530410fcce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07537",
    "kind": "arxiv",
    "version": 1
  }
}