Pith Number

pith:POQYXI63

pith:2018:POQYXI63HQUJJLW33NK46EZJ7P

not attested not anchored not stored refs pending

Characterization of anisotropic high order Sobolev spaces

Ali Maalaoui, Andrea Pinamonti, Nguyen Lam

arxiv:1805.09230 v2 · 2018-05-23 · 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{POQYXI63HQUJJLW33NK46EZJ7P}

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	2026-05-18T00:06:24.778228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba18ba3db3c2894aedbdb55cf1329fbe625972149717f073f3210edda227050

Aliases

arxiv: 1805.09230 · arxiv_version: 1805.09230v2 · doi: 10.48550/arxiv.1805.09230 · pith_short_12: POQYXI63HQUJ · pith_short_16: POQYXI63HQUJJLW3 · pith_short_8: POQYXI63

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/POQYXI63HQUJJLW33NK46EZJ7P \
  | 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: 7ba18ba3db3c2894aedbdb55cf1329fbe625972149717f073f3210edda227050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45b835e4ef1f86ff83800268318a86f4e9040fae9dec05425b69f67522dd886",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-23T15:40:41Z",
    "title_canon_sha256": "2af258cfd537ca0e46bb7c98a4095b69a20a4a66db726a1f9b404e4bfbf5f3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09230",
    "kind": "arxiv",
    "version": 2
  }
}