Pith Number

pith:J6ZHPZLH

pith:2017:J6ZHPZLHZNHODSBSV734POMRLP

not attested not anchored not stored refs pending

Approximation in higher-order Sobolev spaces and Hodge systems

Emmanuel Russ, Pierre Bousquet, Po-Lam Yung, Yi Wang

arxiv:1709.01762 v3 · 2017-09-06 · 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{J6ZHPZLHZNHODSBSV734POMRLP}

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	2026-05-18T00:07:18.453955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb277e567cb4ee1c832aff7c7b9915bf6912766d182fbe8233ff69784f0ad52

Aliases

arxiv: 1709.01762 · arxiv_version: 1709.01762v3 · doi: 10.48550/arxiv.1709.01762 · pith_short_12: J6ZHPZLHZNHO · pith_short_16: J6ZHPZLHZNHODSBS · pith_short_8: J6ZHPZLH

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/J6ZHPZLHZNHODSBSV734POMRLP \
  | 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: 4fb277e567cb4ee1c832aff7c7b9915bf6912766d182fbe8233ff69784f0ad52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf013d7694919bb46b4a6245a8377b3197f734e684c2c46839d8a1bf507458fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-06T10:58:45Z",
    "title_canon_sha256": "0c59773ff55130be5251e84d7230a2ec5f3bcfb69f81a89e2ab10a291ddaa670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01762",
    "kind": "arxiv",
    "version": 3
  }
}