Pith Number

pith:54W3YCL5

pith:2014:54W3YCL5TAW5XL5MBNXDHDR24J

not attested not anchored not stored refs pending

The enriched Crouzeix-Raviart elements are equivalent to the Raviart-Thomas elements

Jun Hu, Rui Ma

arxiv:1401.0977 v2 · 2014-01-06 · 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{54W3YCL5TAW5XL5MBNXDHDR24J}

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	2026-05-18T02:53:26.711622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2dbc097d982ddbafac0b6e338e3ae251fd15aa102096648d43645d0a93288d

Aliases

arxiv: 1401.0977 · arxiv_version: 1401.0977v2 · doi: 10.48550/arxiv.1401.0977 · pith_short_12: 54W3YCL5TAW5 · pith_short_16: 54W3YCL5TAW5XL5M · pith_short_8: 54W3YCL5

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/54W3YCL5TAW5XL5MBNXDHDR24J \
  | 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: ef2dbc097d982ddbafac0b6e338e3ae251fd15aa102096648d43645d0a93288d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10cb7dd1de94b68dac73b812e9a0e67802f9e217f5157eef6b68b4f7ead4d24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-01-06T03:29:01Z",
    "title_canon_sha256": "ca6377e6a7f23b03163c93f7addefc4ebbec4f5ff88b58aa479542e7e9adaab9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0977",
    "kind": "arxiv",
    "version": 2
  }
}