Pith Number

pith:GOSVOPX5

pith:2001:GOSVOPX5TWZEADHIXKCBNRGJJX

not attested not anchored not stored refs pending

Lower semi-continuity of integrals with G-quasiconvex potential

Marius Buliga

arxiv:math/0105097 v5 · 2001-05-11 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOSVOPX5TWZEADHIXKCBNRGJJX}

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	2026-05-18T00:07:01.359408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a5573efd9db2400ce8ba8416c4c94dcdee870e62d3aa7acab1d2c705de28a1

Aliases

arxiv: math/0105097 · arxiv_version: math/0105097v5 · doi: 10.48550/arxiv.math/0105097 · pith_short_12: GOSVOPX5TWZE · pith_short_16: GOSVOPX5TWZEADHI · pith_short_8: GOSVOPX5

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/GOSVOPX5TWZEADHIXKCBNRGJJX \
  | 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: 33a5573efd9db2400ce8ba8416c4c94dcdee870e62d3aa7acab1d2c705de28a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "626cf076c581263403ca3a2f89a7dce044f23f3c9dab80c15fc0fcc07ebdfa7e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2001-05-11T18:47:29Z",
    "title_canon_sha256": "f54aade96b3b09794e9fccd849049dfa26eac1a669a6c6dc3a767c3c3b8c26c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105097",
    "kind": "arxiv",
    "version": 5
  }
}