Pith Number

pith:FBWO4VQN

pith:2013:FBWO4VQN46G4ESLDDLOVZLN5TF

not attested not anchored not stored refs pending

The effect of the domain topology on the number of positive solutions of an elliptic Kirchhoff problem

Jo\~ao R. Santos J\'unior

arxiv:1304.4565 v1 · 2013-04-16 · 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{FBWO4VQN46G4ESLDDLOVZLN5TF}

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	2026-05-18T03:26:33.355716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

286cee560de78dc249631add5cadbd9973ded396f5413fabb972cb5adb7f57ee

Aliases

arxiv: 1304.4565 · arxiv_version: 1304.4565v1 · doi: 10.48550/arxiv.1304.4565 · pith_short_12: FBWO4VQN46G4 · pith_short_16: FBWO4VQN46G4ESLD · pith_short_8: FBWO4VQN

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/FBWO4VQN46G4ESLDDLOVZLN5TF \
  | 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: 286cee560de78dc249631add5cadbd9973ded396f5413fabb972cb5adb7f57ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6178c971fe7537a52320f536f248c3b0d5eb449a01f06ad1c645a81d2555e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-16T19:19:57Z",
    "title_canon_sha256": "90380aa160bf5824abf20207339be6de8fd9f17cf23f9f7fff27153b586a0d9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4565",
    "kind": "arxiv",
    "version": 1
  }
}