Pith Number

pith:KHUQH5HB

pith:2011:KHUQH5HBXAPXFHD4HPZU3DB6E5

not attested not anchored not stored refs pending

Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

Eleonora Cinti

arxiv:1107.2306 v1 · 2011-07-12 · 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{KHUQH5HBXAPXFHD4HPZU3DB6E5}

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	2026-05-18T04:18:24.825530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e903f4e1b81f729c7c3bf34d8c3e2763c5a327aef356c4f214214c724c7978

Aliases

arxiv: 1107.2306 · arxiv_version: 1107.2306v1 · doi: 10.48550/arxiv.1107.2306 · pith_short_12: KHUQH5HBXAPX · pith_short_16: KHUQH5HBXAPXFHD4 · pith_short_8: KHUQH5HB

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/KHUQH5HBXAPXFHD4HPZU3DB6E5 \
  | 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: 51e903f4e1b81f729c7c3bf34d8c3e2763c5a327aef356c4f214214c724c7978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78d659f96b9d0b1fcde2c11eed408e02f9a1678c6d7844faeb20f3b36de9a96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-12T14:46:27Z",
    "title_canon_sha256": "2ed7dda0e12fe848e587d947e7826e0b80667953100e625be175be64f7d1d6f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2306",
    "kind": "arxiv",
    "version": 1
  }
}