Pith Number

pith:ZYOFMFRJ

pith:2013:ZYOFMFRJ4RP6ATB5NPBBNUJ5XQ

not attested not anchored not stored refs pending

The bubble transform: A new tool for analysis of finite element methods

Ragnar Winther, Richard S. Falk

arxiv:1312.1524 v1 · 2013-12-05 · 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{ZYOFMFRJ4RP6ATB5NPBBNUJ5XQ}

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	2026-05-18T03:05:27.022533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce1c561629e45fe04c3d6bc216d13dbc30d3f19e7ed82c749885a2ea33b2edb4

Aliases

arxiv: 1312.1524 · arxiv_version: 1312.1524v1 · doi: 10.48550/arxiv.1312.1524 · pith_short_12: ZYOFMFRJ4RP6 · pith_short_16: ZYOFMFRJ4RP6ATB5 · pith_short_8: ZYOFMFRJ

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/ZYOFMFRJ4RP6ATB5NPBBNUJ5XQ \
  | 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: ce1c561629e45fe04c3d6bc216d13dbc30d3f19e7ed82c749885a2ea33b2edb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b9bf9accdfecd5085cfb4eda022b97bbdd3ce2913a18a5dcd6810d8ebac79f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-05T12:45:22Z",
    "title_canon_sha256": "bace26b150a1045af66f0fe856675287542518ba53bea205dbe2864a1ef58468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1524",
    "kind": "arxiv",
    "version": 1
  }
}