Pith Number

pith:K253QBE4

pith:2019:K253QBE4MOP347P3G34PWXPVBT

not attested not anchored not stored refs pending

On the upper semicontinuity of a quasiconcave functional

Denis Serre, Luigi De Rosa, Riccardo Tione

arxiv:1906.06510 v1 · 2019-06-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K253QBE4MOP347P3G34PWXPVBT}

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	2026-05-17T23:43:13.491634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bbb8049c639fbe7dfb36f8fb5df50cea76ce8fb47159f7f4288271f4749dd5

Aliases

arxiv: 1906.06510 · arxiv_version: 1906.06510v1 · doi: 10.48550/arxiv.1906.06510 · pith_short_12: K253QBE4MOP3 · pith_short_16: K253QBE4MOP347P3 · pith_short_8: K253QBE4

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/K253QBE4MOP347P3G34PWXPVBT \
  | 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: 56bbb8049c639fbe7dfb36f8fb5df50cea76ce8fb47159f7f4288271f4749dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec75ace8a587a1763916d035055b928087b9e33a70ff7280b58505ce5a85cbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-15T09:49:45Z",
    "title_canon_sha256": "1043011178870bf3c72ca1b4f0fce1878c61eddb9f2ae5aa4b67274fbf115885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06510",
    "kind": "arxiv",
    "version": 1
  }
}