Pith Number

pith:GX2PUU34

pith:2015:GX2PUU344O4NU2QIYHR4OA577V

not attested not anchored not stored refs pending

$\Gamma$-limits of functionals determined by their infima

Jean-Philippe Mandallena, Omar Anza Hafsa

arxiv:1503.06928 v3 · 2015-03-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GX2PUU344O4NU2QIYHR4OA577V}

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	2026-05-18T01:23:50.772934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f4fa537ce3b8da6a08c1e3c703bffd48b6187bc14e61438af91e2374dd5c1e

Aliases

arxiv: 1503.06928 · arxiv_version: 1503.06928v3 · doi: 10.48550/arxiv.1503.06928 · pith_short_12: GX2PUU344O4N · pith_short_16: GX2PUU344O4NU2QI · pith_short_8: GX2PUU34

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/GX2PUU344O4NU2QIYHR4OA577V \
  | 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: 35f4fa537ce3b8da6a08c1e3c703bffd48b6187bc14e61438af91e2374dd5c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d5bc4cab9c474a9c923c2760611c757c02a32dd2b3685bacdbc689d0d640da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-03-24T06:54:16Z",
    "title_canon_sha256": "8c6e03b885d84b883548d6867537b44446f1f3bb5a7a41fdddd3e2b75172ba7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06928",
    "kind": "arxiv",
    "version": 3
  }
}