Pith Number

pith:Y5LPAN6F

pith:2012:Y5LPAN6FQMMN555FGSLRSJYZPX

not attested not anchored not stored refs pending

A concentration phenomenon for semilinear elliptic equations

Andrzej Szulkin, Nils Ackermann

arxiv:1206.3196 v2 · 2012-06-14 · 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{Y5LPAN6FQMMN555FGSLRSJYZPX}

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	2026-05-18T01:56:58.548132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c756f037c58318def7a534971927197dc36e5490f8fdc10c91969dee7360461e

Aliases

arxiv: 1206.3196 · arxiv_version: 1206.3196v2 · doi: 10.48550/arxiv.1206.3196 · pith_short_12: Y5LPAN6FQMMN · pith_short_16: Y5LPAN6FQMMN555F · pith_short_8: Y5LPAN6F

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/Y5LPAN6FQMMN555FGSLRSJYZPX \
  | 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: c756f037c58318def7a534971927197dc36e5490f8fdc10c91969dee7360461e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d49e8b5744f8b78ec13d0ce6488a8762d87bf1dad99ef621a3c57351d6c6265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-14T17:50:09Z",
    "title_canon_sha256": "9588bd1e01ccfee5be1a5ce5934543662c2077bcfc6dffd1b5af08db205fc5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3196",
    "kind": "arxiv",
    "version": 2
  }
}