Pith Number

pith:HX4MSCB2

pith:2011:HX4MSCB2RLAPX5SKL3ZKWE6VTK

not attested not anchored not stored refs pending

Existence of positive solutions to a semi-linear elliptic system with a small energy/charge ratio

Daniele Garrisi

arxiv:1110.6495 v1 · 2011-10-29 · 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{HX4MSCB2RLAPX5SKL3ZKWE6VTK}

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	2026-05-18T04:09:55.522751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3df8c9083a8ac0fbf64a5ef2ab13d59a812bfe3b0417864b043ffed6a035c93a

Aliases

arxiv: 1110.6495 · arxiv_version: 1110.6495v1 · doi: 10.48550/arxiv.1110.6495 · pith_short_12: HX4MSCB2RLAP · pith_short_16: HX4MSCB2RLAPX5SK · pith_short_8: HX4MSCB2

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/HX4MSCB2RLAPX5SKL3ZKWE6VTK \
  | 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: 3df8c9083a8ac0fbf64a5ef2ab13d59a812bfe3b0417864b043ffed6a035c93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b15d42305c481bc5e359b0f854a55bfdb74a44d6a536be0d0e4d0f3b9de8b73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-29T04:02:53Z",
    "title_canon_sha256": "52fc3fdb888cedb69e75284532e5f395a526568fdf2f43204e6f68ba40855526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6495",
    "kind": "arxiv",
    "version": 1
  }
}