Pith Number

pith:ZOUSHRAD

pith:2021:ZOUSHRADIVBYW7E3234GI4ACCE

not attested not anchored not stored refs pending

Unifying the geometric decompositions of full and trimmed polynomial spaces in finite element exterior calculus

Toby Isaac

arxiv:2112.02174 v2 · 2021-12-03 · 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{ZOUSHRADIVBYW7E3234GI4ACCE}

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	2026-07-05T03:57:30.237648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba923c40345438b7c9bd6f8647002111408375e83311c3aa9334601ef014118

Aliases

arxiv: 2112.02174 · arxiv_version: 2112.02174v2 · doi: 10.48550/arxiv.2112.02174 · pith_short_12: ZOUSHRADIVBY · pith_short_16: ZOUSHRADIVBYW7E3 · pith_short_8: ZOUSHRAD

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/ZOUSHRADIVBYW7E3234GI4ACCE \
  | 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: cba923c40345438b7c9bd6f8647002111408375e83311c3aa9334601ef014118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4084af5884d86e1eb6f6f4660c6590895f0b7f8fdc73d16d301fbe87393c3dba",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-12-03T22:15:47Z",
    "title_canon_sha256": "7348da9e045e220ba7db56a2f21a8027650cc3d6b8372baf8d8dca3383096953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02174",
    "kind": "arxiv",
    "version": 2
  }
}