Pith Number

pith:GVUQEGTJ

pith:2014:GVUQEGTJ3IYIGWAZFZXCULRGKO

not attested not anchored not stored refs pending

On the Brezis-Lieb Lemma without pointwise convergence

Adimurthi, Cyril Tintarev

arxiv:1408.4654 v1 · 2014-08-20 · 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{GVUQEGTJ3IYIGWAZFZXCULRGKO}

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	2026-05-18T02:44:48.447237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3569021a69da308358192e6e2a2e2653bc924299a578cb57d64402af391876c7

Aliases

arxiv: 1408.4654 · arxiv_version: 1408.4654v1 · doi: 10.48550/arxiv.1408.4654 · pith_short_12: GVUQEGTJ3IYI · pith_short_16: GVUQEGTJ3IYIGWAZ · pith_short_8: GVUQEGTJ

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/GVUQEGTJ3IYIGWAZFZXCULRGKO \
  | 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: 3569021a69da308358192e6e2a2e2653bc924299a578cb57d64402af391876c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c66c5a18d0e34acf92193a4757f68269059b4ff7fd30fcd1f98139a36832e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-20T13:46:06Z",
    "title_canon_sha256": "372e6c54149b8dd846180eb823fbc92780fef2178655bc2f4950afd56eb0cff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4654",
    "kind": "arxiv",
    "version": 1
  }
}