Pith Number

pith:SXRMRQY3

pith:2012:SXRMRQY3WMGJ5EIDPOVMJRSS5L

not attested not anchored not stored refs pending

A New Extension of Serrin's Lower Semicontinuity Theorem

Hu Xiaohong, Zhang Shiqing

arxiv:1205.2826 v1 · 2012-05-13 · 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{SXRMRQY3WMGJ5EIDPOVMJRSS5L}

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	2026-05-18T03:55:45.908653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e2c8c31bb30c9e91037baac4c652eaef4e054b078a1061fbcfa069745769ca

Aliases

arxiv: 1205.2826 · arxiv_version: 1205.2826v1 · doi: 10.48550/arxiv.1205.2826 · pith_short_12: SXRMRQY3WMGJ · pith_short_16: SXRMRQY3WMGJ5EID · pith_short_8: SXRMRQY3

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/SXRMRQY3WMGJ5EIDPOVMJRSS5L \
  | 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: 95e2c8c31bb30c9e91037baac4c652eaef4e054b078a1061fbcfa069745769ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d5bac48d45f5c41979a04b4bf8f8932121429316777de0c6a63c77d2babc89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-13T03:50:18Z",
    "title_canon_sha256": "c59751dfd66bd39784357ed265c40b2e7d3c6fded29029ac298e3df79409ad28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2826",
    "kind": "arxiv",
    "version": 1
  }
}