Pith Number

pith:6VFCVMR3

pith:2012:6VFCVMR3R2BOMVHLKRFEZBNJXM

not attested not anchored not stored refs pending

Understanding differential equations through diffusion point of view

Dohy Hong

arxiv:1204.5429 v1 · 2012-04-24 · cs.NA · 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{6VFCVMR3R2BOMVHLKRFEZBNJXM}

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	2026-05-18T03:57:13.287194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54a2ab23b8e82e654eb544a4c85a9bb281c7da00f73fbc3ba9913e4ca68b4ef

Aliases

arxiv: 1204.5429 · arxiv_version: 1204.5429v1 · doi: 10.48550/arxiv.1204.5429 · pith_short_12: 6VFCVMR3R2BO · pith_short_16: 6VFCVMR3R2BOMVHL · pith_short_8: 6VFCVMR3

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/6VFCVMR3R2BOMVHLKRFEZBNJXM \
  | 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: f54a2ab23b8e82e654eb544a4c85a9bb281c7da00f73fbc3ba9913e4ca68b4ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2f1008751ad75dbf23f6e43bb35f0f7e5b9ccbd1f4343f12d6d6927290aaa6c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2012-04-24T16:58:20Z",
    "title_canon_sha256": "9335888b9618649fe6aa92049d4f798f01dd502b497a54bbb5f900fd2c482e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5429",
    "kind": "arxiv",
    "version": 1
  }
}