Pith Number

pith:GJACUTHR

pith:2015:GJACUTHRIUSGWWYF4XUWMQRGR7

not attested not anchored not stored refs pending

Precise exponential decay for solutions of semilinear elliptic equations and its effect on the structure of the solution set for a real analytic nonlinearity

Nils Ackermann, Norman Dancer

arxiv:1503.03552 v1 · 2015-03-12 · 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{GJACUTHRIUSGWWYF4XUWMQRGR7}

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	2026-05-18T02:24:58.222860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32402a4cf145246b5b05e5e96642268fce1ffb4dc7682319599c6f687904f12b

Aliases

arxiv: 1503.03552 · arxiv_version: 1503.03552v1 · doi: 10.48550/arxiv.1503.03552 · pith_short_12: GJACUTHRIUSG · pith_short_16: GJACUTHRIUSGWWYF · pith_short_8: GJACUTHR

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/GJACUTHRIUSGWWYF4XUWMQRGR7 \
  | 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: 32402a4cf145246b5b05e5e96642268fce1ffb4dc7682319599c6f687904f12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae765f1abc7be348f31888e5c6f37dfb96d5768f7cbca2fe8033cba39d5a7e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-12T01:40:25Z",
    "title_canon_sha256": "bed455119de2cd4790e3779a425127ef396f2520f8dbe9040af1cc4770f7facf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03552",
    "kind": "arxiv",
    "version": 1
  }
}