Pith Number

pith:JXSQY4HW

pith:2010:JXSQY4HWP5Z44T7IGWRN42EGNK

not attested not anchored not stored refs pending

Lower semicontinuity and Young measures in BV without Alberti's Rank-One Theorem

Filip Rindler

arxiv:1010.0242 v3 · 2010-10-01 · math.AP · 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{JXSQY4HWP5Z44T7IGWRN42EGNK}

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	2026-05-18T04:26:23.119141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4de50c70f67f73ce4fe835a2de68866ab3b13189d01e1e241534a0192ddab85f

Aliases

arxiv: 1010.0242 · arxiv_version: 1010.0242v3 · doi: 10.48550/arxiv.1010.0242 · pith_short_12: JXSQY4HWP5Z4 · pith_short_16: JXSQY4HWP5Z44T7I · pith_short_8: JXSQY4HW

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/JXSQY4HWP5Z44T7IGWRN42EGNK \
  | 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: 4de50c70f67f73ce4fe835a2de68866ab3b13189d01e1e241534a0192ddab85f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37b4f4a651d95c7c8a59f0bf6cf0976f7099e255d51ca26770df11f8b6c506a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-01T19:32:06Z",
    "title_canon_sha256": "9834e3068aa98347bd95b142510d69e95b98277d17e343432d63c8ef78c6cf4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0242",
    "kind": "arxiv",
    "version": 3
  }
}