Pith Number

pith:42A5XZK7

pith:2018:42A5XZK7DCBFJLIA73HIVUUBWV

not attested not anchored not stored refs pending

Simplex-averaged finite element methods for $H({\rm grad})$, $H({\rm curl})$ and $H({\rm div})$ convection-diffusion problems

Jinchao Xu, Shuonan Wu

arxiv:1810.04857 v3 · 2018-10-11 · math.NA · cs.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{42A5XZK7DCBFJLIA73HIVUUBWV}

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	2026-05-17T23:41:53.837602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e681dbe55f188254ad00fece8ad281b57fd752db3cd25cc89dfd2f45959732f3

Aliases

arxiv: 1810.04857 · arxiv_version: 1810.04857v3 · doi: 10.48550/arxiv.1810.04857 · pith_short_12: 42A5XZK7DCBF · pith_short_16: 42A5XZK7DCBFJLIA · pith_short_8: 42A5XZK7

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/42A5XZK7DCBFJLIA73HIVUUBWV \
  | 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: e681dbe55f188254ad00fece8ad281b57fd752db3cd25cc89dfd2f45959732f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9673f1dffc86fc7b28cdbb127a7ef5afeac613cb8f054e8eb25db525baf84ab5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-11T06:11:23Z",
    "title_canon_sha256": "1d74c99738a15c9901ba6c19ddac6a3db832e8d3d5f45b86f0b7c424ae747ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04857",
    "kind": "arxiv",
    "version": 3
  }
}