Pith Number

pith:IXBMEETH

pith:2014:IXBMEETHX7VQ4QAEQOV5G5XZF5

not attested not anchored not stored refs pending

Critical blowup exponent to a class of semilinear elliptic equations with constraints in higher dimension - local properties

Ryo Takahashi, Takashi Suzuki

arxiv:1412.2875 v1 · 2014-12-09 · 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{IXBMEETHX7VQ4QAEQOV5G5XZF5}

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	2026-05-18T02:31:45.640632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c2c21267bfeb0e400483abd376f92f600b9ebbd69b2d5031193c732ab2597b

Aliases

arxiv: 1412.2875 · arxiv_version: 1412.2875v1 · doi: 10.48550/arxiv.1412.2875 · pith_short_12: IXBMEETHX7VQ · pith_short_16: IXBMEETHX7VQ4QAE · pith_short_8: IXBMEETH

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/IXBMEETHX7VQ4QAEQOV5G5XZF5 \
  | 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: 45c2c21267bfeb0e400483abd376f92f600b9ebbd69b2d5031193c732ab2597b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efb22590f74158375182ec8613a8a16fb12df2d54d1a7d8b390900ec41c5853",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-09T07:38:14Z",
    "title_canon_sha256": "0bd10c9d3a7263e5c776f54ec85df6bd72000f8405a01eaeed656e5680da832d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2875",
    "kind": "arxiv",
    "version": 1
  }
}