Pith Number

pith:SUDQCP27

pith:2016:SUDQCP276U3NIYK4AYX3L4YOXY

not attested not anchored not stored refs pending

Flows and functional inequalities for fractional operators

An Zhang (CEREMADE), Jean Dolbeault (CEREMADE)

arxiv:1611.09597 v1 · 2016-11-29 · 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{SUDQCP276U3NIYK4AYX3L4YOXY}

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	2026-05-18T00:56:17.968293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9507013f5ff536d4615c062fb5f30ebe1d80e0257fed6fe0b4e73fe00a92ffa8

Aliases

arxiv: 1611.09597 · arxiv_version: 1611.09597v1 · doi: 10.48550/arxiv.1611.09597 · pith_short_12: SUDQCP276U3N · pith_short_16: SUDQCP276U3NIYK4 · pith_short_8: SUDQCP27

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/SUDQCP276U3NIYK4AYX3L4YOXY \
  | 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: 9507013f5ff536d4615c062fb5f30ebe1d80e0257fed6fe0b4e73fe00a92ffa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143b49e888332700a53bac2dcb1f48a58d8356ea1e668c2ced43e392ca031b13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-29T12:34:41Z",
    "title_canon_sha256": "d97dfd09607dea2de89faca1d8cfe04d2127bfe957cfb8655ee844ebaddafa57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09597",
    "kind": "arxiv",
    "version": 1
  }
}