Pith Number

pith:7JKTF4FL

pith:2021:7JKTF4FLA7UCVZKA6UBRX4EWRM

not attested not anchored not stored refs pending

Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations

Harald Garcke, Quan Zhao, Robert Nurnberg, Weizhu Bao

arxiv:2111.13565 v2 · 2021-11-26 · math.NA · cs.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JKTF4FLA7UCVZKA6UBRX4EWRM}

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	2026-07-05T04:12:28.772440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5532f0ab07e82ae540f5031bf0968b1ddce523d29281d19cada4287c1be3f4

Aliases

arxiv: 2111.13565 · arxiv_version: 2111.13565v2 · doi: 10.48550/arxiv.2111.13565 · pith_short_12: 7JKTF4FLA7UC · pith_short_16: 7JKTF4FLA7UCVZKA · pith_short_8: 7JKTF4FL

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/7JKTF4FLA7UCVZKA6UBRX4EWRM \
  | 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: fa5532f0ab07e82ae540f5031bf0968b1ddce523d29281d19cada4287c1be3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3097296ad162341e9b86631067e57a97e7cf14a8e54444f6dc4bd632a6a78967",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-11-26T16:03:58Z",
    "title_canon_sha256": "a064312853f9e7ea43883ee4dbbde5695f830450487691125eb7837b645ddec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.13565",
    "kind": "arxiv",
    "version": 2
  }
}