Pith Number

pith:GCXWLWTX

pith:2012:GCXWLWTX2S2RT3QTBV2EFOHA2P

not attested not anchored not stored refs pending

The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations

Changna Lu, Erik S. Van Vleck, Weizhang Huang

arxiv:1206.6312 v2 · 2012-06-27 · 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{GCXWLWTX2S2RT3QTBV2EFOHA2P}

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	2026-05-18T01:56:41.269073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30af65da77d4b519ee130d7442b8e0d3f6088218891a008b3e41b6fb5754951d

Aliases

arxiv: 1206.6312 · arxiv_version: 1206.6312v2 · doi: 10.48550/arxiv.1206.6312 · pith_short_12: GCXWLWTX2S2R · pith_short_16: GCXWLWTX2S2RT3QT · pith_short_8: GCXWLWTX

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/GCXWLWTX2S2RT3QTBV2EFOHA2P \
  | 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: 30af65da77d4b519ee130d7442b8e0d3f6088218891a008b3e41b6fb5754951d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546a7ae95c5a73ffb31d6edcd58cdc31531d0a0be0486f04abab0559130d8c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-06-27T15:35:00Z",
    "title_canon_sha256": "8d0f55ec75da8695ab7f910e6f9bacf820ca305ead8b3bbee3929e07b633eca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6312",
    "kind": "arxiv",
    "version": 2
  }
}