Pith Number

pith:3KVKO7VN

pith:2018:3KVKO7VNJNZI3CJEERZSAM7ECN

not attested not anchored not stored refs pending

Generalized Gaffney inequality and discrete compactness for discrete differential forms

Jinchao Xu, Juncai He, Kaibo Hu

arxiv:1804.03428 v2 · 2018-04-10 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KVKO7VNJNZI3CJEERZSAM7ECN}

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	2026-05-18T00:10:37.974625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daaaa77ead4b728d892424732033e4137f17d664542cb62f293279d1535f05ef

Aliases

arxiv: 1804.03428 · arxiv_version: 1804.03428v2 · doi: 10.48550/arxiv.1804.03428 · pith_short_12: 3KVKO7VNJNZI · pith_short_16: 3KVKO7VNJNZI3CJE · pith_short_8: 3KVKO7VN

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/3KVKO7VNJNZI3CJEERZSAM7ECN \
  | 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: daaaa77ead4b728d892424732033e4137f17d664542cb62f293279d1535f05ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72a33449d9dccc73cac8708b20c1cbc7fed37457963d8d558ac0997b394930a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-10T10:10:21Z",
    "title_canon_sha256": "7d46e9348df777c8116222b7b412e61da71e75179dbc79dc41ada5b8a6548e07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03428",
    "kind": "arxiv",
    "version": 2
  }
}