Pith Number

pith:XF3OGFVI

pith:2003:XF3OGFVI43B6CCOSQ3NMM64FY4

not attested not anchored not stored refs pending

Unbounded critical points for a class of lower semicontinuous functionals

Benedetta Pellacci, Marco Squassina

arxiv:math/0303008 v1 · 2003-03-01 · 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{XF3OGFVI43B6CCOSQ3NMM64FY4}

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	2026-05-18T01:05:29.063471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b976e316a8e6c3e109d286dac67b85c728aa5dbe0445b411c6bdb623bf6534f6

Aliases

arxiv: math/0303008 · arxiv_version: math/0303008v1 · doi: 10.48550/arxiv.math/0303008 · pith_short_12: XF3OGFVI43B6 · pith_short_16: XF3OGFVI43B6CCOS · pith_short_8: XF3OGFVI

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/XF3OGFVI43B6CCOSQ3NMM64FY4 \
  | 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: b976e316a8e6c3e109d286dac67b85c728aa5dbe0445b411c6bdb623bf6534f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ba5e5450f26d3bcd7270a0f81e11e4cc1db3f721b9ed26da79b636bbea65cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-03-01T18:56:07Z",
    "title_canon_sha256": "0adbc16eed97bf9ab999ac1d50d9a575b5ae82151a9385bf303ba542943fac47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303008",
    "kind": "arxiv",
    "version": 1
  }
}