Pith Number

pith:T4Z42ORQ

pith:2008:T4Z42ORQBNJC55667F2VFU5B5K

not attested not anchored not stored refs pending

Geometric decompositions and local bases for spaces of finite element differential forms

Douglas N. Arnold, Ragnar Winther, Richard S. Falk

arxiv:0806.1255 v1 · 2008-06-07 · 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{T4Z42ORQBNJC55667F2VFU5B5K}

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	2026-05-18T03:00:59.799126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f33cd3a300b522ef7def97552d3a1ea8d7aed6b0ac9e7ca08267bf5bbb0f97d

Aliases

arxiv: 0806.1255 · arxiv_version: 0806.1255v1 · doi: 10.48550/arxiv.0806.1255 · pith_short_12: T4Z42ORQBNJC · pith_short_16: T4Z42ORQBNJC5566 · pith_short_8: T4Z42ORQ

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/T4Z42ORQBNJC55667F2VFU5B5K \
  | 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: 9f33cd3a300b522ef7def97552d3a1ea8d7aed6b0ac9e7ca08267bf5bbb0f97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "978544198ba051bf72bd0529dd90691bf1e3f3eeaa05edcd6326b301a0a94ad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-06-07T02:23:46Z",
    "title_canon_sha256": "73784a5839270d37baba11f25f410a86aa85eccc42241629ae94ed8cfdd780d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1255",
    "kind": "arxiv",
    "version": 1
  }
}