Pith Number

pith:VJRCEDGS

pith:2018:VJRCEDGSKE6LOCPIWOSBVMFWOX

not attested not anchored not stored refs pending

Existence and concentration phenomena for a class of indefinite variational problems with critical growth

Claudianor O. Alves, Geilson F. Germano

arxiv:1801.08138 v1 · 2018-01-24 · 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{VJRCEDGSKE6LOCPIWOSBVMFWOX}

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	2026-05-18T00:25:06.989875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa62220cd2513cb709e8b3a41ab0b675e650c5cf5f2d300349febf5cdda5dbdb

Aliases

arxiv: 1801.08138 · arxiv_version: 1801.08138v1 · doi: 10.48550/arxiv.1801.08138 · pith_short_12: VJRCEDGSKE6L · pith_short_16: VJRCEDGSKE6LOCPI · pith_short_8: VJRCEDGS

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/VJRCEDGSKE6LOCPIWOSBVMFWOX \
  | 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: aa62220cd2513cb709e8b3a41ab0b675e650c5cf5f2d300349febf5cdda5dbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcd41ed1a1482451bed08ab47880e4d2be1ec83d0146cde222c1c033f21b940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-24T18:26:51Z",
    "title_canon_sha256": "cc748e178d8dc9291ca785f03c35b335580f463955a9b4cc21e01584138d3000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08138",
    "kind": "arxiv",
    "version": 1
  }
}