Pith Number

pith:F2Z3VZBD

pith:2011:F2Z3VZBDZJIIUQN2CDLGOBGBJT

not attested not anchored not stored refs pending

A semi-discrete finite element method for a class of time-fractional diffusion equations

HongGuang Sun, K. Y. Sze, Wen Chen

arxiv:1109.0641 v2 · 2011-09-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2Z3VZBDZJIIUQN2CDLGOBGBJT}

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	2026-05-18T03:28:30.716889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb3bae423ca508a41ba10d66704c14cd4233a287bcf8014594508fc43d2a882

Aliases

arxiv: 1109.0641 · arxiv_version: 1109.0641v2 · doi: 10.48550/arxiv.1109.0641 · pith_short_12: F2Z3VZBDZJII · pith_short_16: F2Z3VZBDZJIIUQN2 · pith_short_8: F2Z3VZBD

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/F2Z3VZBDZJIIUQN2CDLGOBGBJT \
  | 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: 2eb3bae423ca508a41ba10d66704c14cd4233a287bcf8014594508fc43d2a882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ee29b3a5fe4b5b705403991e5ecc270e367ed5e53b03cb119fa13ccdbbbe9a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-03T17:46:21Z",
    "title_canon_sha256": "555ad83f813c20d6cabfe9c5578800a17ab031cfa8625b8937d85775d522cb3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0641",
    "kind": "arxiv",
    "version": 2
  }
}