Pith Number

pith:AW4UZIPG

pith:2025:AW4UZIPG2C75YSGSRCEON5SHXA

not attested not anchored not stored refs pending

Concepts for Composing Finite Element Function Space Bases

Carsten Gr\"aser, Christian Engwer, Oliver Sander, Simon Praetorius, Steffen M\"uthing

arxiv:2508.10125 v1 · 2025-08-13 · cs.MS · cs.NA · 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{AW4UZIPG2C75YSGSRCEON5SHXA}

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	2026-07-05T11:53:32.052456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b94ca1e6d0bfdc48d28888e6f647b82e6569855b5bbe5a9ce00c64dd3f8adf

Aliases

arxiv: 2508.10125 · arxiv_version: 2508.10125v1 · doi: 10.48550/arxiv.2508.10125 · pith_short_12: AW4UZIPG2C75 · pith_short_16: AW4UZIPG2C75YSGS · pith_short_8: AW4UZIPG

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/AW4UZIPG2C75YSGSRCEON5SHXA \
  | 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: 05b94ca1e6d0bfdc48d28888e6f647b82e6569855b5bbe5a9ce00c64dd3f8adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "353b39bc3b1807d39f0bc3b3437bf115a11c493c0911fc7c712c2993a70ffb8c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2025-08-13T18:40:07Z",
    "title_canon_sha256": "d5303920d257d62a119b65af46d6ba74e5670725f13149c08180dcb793e91c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.10125",
    "kind": "arxiv",
    "version": 1
  }
}