Pith Number

pith:GLMMRNXD

pith:2013:GLMMRNXDG5O7EXIGW5JD3PRA2B

not attested not anchored not stored refs pending

Existence of solution for a class of nonlocal elliptic problem via sub-supersolution method

Claudianor O. Alves, Dragos-Patru Covei

arxiv:1306.1211 v4 · 2013-06-05 · 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{GLMMRNXDG5O7EXIGW5JD3PRA2B}

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	2026-05-18T02:59:44.523246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d8c8b6e3375df25d06b7523dbe20d07df976e22663d7284d002ad1ab067a77

Aliases

arxiv: 1306.1211 · arxiv_version: 1306.1211v4 · doi: 10.48550/arxiv.1306.1211 · pith_short_12: GLMMRNXDG5O7 · pith_short_16: GLMMRNXDG5O7EXIG · pith_short_8: GLMMRNXD

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/GLMMRNXDG5O7EXIGW5JD3PRA2B \
  | 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: 32d8c8b6e3375df25d06b7523dbe20d07df976e22663d7284d002ad1ab067a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffb8fb6490ced6324facc2016040b097021bcebb2358699ff0a9ebd07a70d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-05T19:13:06Z",
    "title_canon_sha256": "3c84b4bcfa99a90c4960c3912233ca7d28c5c57dfc5c4aa47630585d6b08f2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1211",
    "kind": "arxiv",
    "version": 4
  }
}