Pith Number

pith:FC52WBTH

pith:2015:FC52WBTHVAPTDJ5XK5LRW4ZRSK

not attested not anchored not stored refs pending

A Hybridized Formulation for the Weak Galerkin Mixed Finite Element Method

Junping Wang, Lin Mu, Xiu Ye

arxiv:1508.05695 v1 · 2015-08-24 · 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{FC52WBTHVAPTDJ5XK5LRW4ZRSK}

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	2026-05-18T01:34:51.873579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28bbab0667a81f31a7b757571b733192ae0fe20f37b554b7951849a2811a57a9

Aliases

arxiv: 1508.05695 · arxiv_version: 1508.05695v1 · doi: 10.48550/arxiv.1508.05695 · pith_short_12: FC52WBTHVAPT · pith_short_16: FC52WBTHVAPTDJ5X · pith_short_8: FC52WBTH

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/FC52WBTHVAPTDJ5XK5LRW4ZRSK \
  | 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: 28bbab0667a81f31a7b757571b733192ae0fe20f37b554b7951849a2811a57a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff6142a544fa10cfbd7dc633ca64d1789db5385db2dac7f94c9822233a0929c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-24T04:29:08Z",
    "title_canon_sha256": "dd1dea398752e623c3162d80c4404890d077d57a77aa6aad9e681ca64d0b3e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05695",
    "kind": "arxiv",
    "version": 1
  }
}