Pith Number

pith:RRTWLHBK

pith:2016:RRTWLHBKA6OXAZGGHRWFDTL7Q6

not attested not anchored not stored refs pending

Concentration at submanifolds for an elliptic Dirichlet problem near high critical exponents

Fethi Mahmoudi, Monica Musso, Shengbing Deng

arxiv:1606.03666 v2 · 2016-06-12 · 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{RRTWLHBKA6OXAZGGHRWFDTL7Q6}

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	2026-05-18T00:29:15.625602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c67659c2a079d7064c63c6c51cd7f87ba4bdae858558b4d014ebe3cfbf0da27

Aliases

arxiv: 1606.03666 · arxiv_version: 1606.03666v2 · doi: 10.48550/arxiv.1606.03666 · pith_short_12: RRTWLHBKA6OX · pith_short_16: RRTWLHBKA6OXAZGG · pith_short_8: RRTWLHBK

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/RRTWLHBKA6OXAZGGHRWFDTL7Q6 \
  | 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: 8c67659c2a079d7064c63c6c51cd7f87ba4bdae858558b4d014ebe3cfbf0da27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b783973cac431aaf548f9d69dfc48dc6d1e981017f7ae2b7a0d13f2358684e0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-12T04:16:57Z",
    "title_canon_sha256": "56251003469c8a1606dac186fa74af34f1c56692d3703c8a8366fef5a7196e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03666",
    "kind": "arxiv",
    "version": 2
  }
}