Pith Number

pith:KKW5RCB5

pith:2013:KKW5RCB5CEP56AV6MVJQSVNEGF

not attested not anchored not stored refs pending

Ground state solution for a Kirchhoff problem with exponential critical growth

Giovany M. Figueiredo, Uberlandio B. Severo

arxiv:1305.2571 v1 · 2013-05-12 · 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{KKW5RCB5CEP56AV6MVJQSVNEGF}

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	2026-05-18T03:25:57.483759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52add8883d111fdf02be65530955a431563af0745b14c330caaf2bad2894f69f

Aliases

arxiv: 1305.2571 · arxiv_version: 1305.2571v1 · doi: 10.48550/arxiv.1305.2571 · pith_short_12: KKW5RCB5CEP5 · pith_short_16: KKW5RCB5CEP56AV6 · pith_short_8: KKW5RCB5

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/KKW5RCB5CEP56AV6MVJQSVNEGF \
  | 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: 52add8883d111fdf02be65530955a431563af0745b14c330caaf2bad2894f69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c2e2688780f395d7958aca5bce21728c6711e7ba3cecde287046b7e883f780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-12T09:21:15Z",
    "title_canon_sha256": "f4aa4d3ce61aded169664742b93600e27b1dc43bf475af5436fdad01b0db4211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2571",
    "kind": "arxiv",
    "version": 1
  }
}