pith. sign in
Pith Number

pith:JZRWI2ED

pith:2015:JZRWI2ED5FVS5NOZGPRBHS7YN3
not attested not anchored not stored refs pending

Unidirectional evolution equations of diffusion type

Goro Akagi, Masato Kimura

arxiv:1501.01072 v1 · 2015-01-06 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JZRWI2ED5FVS5NOZGPRBHS7YN3}

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 2026-05-18T02:30:00.347042Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4e63646883e96b2eb5d933e213cbf86eec2bbaa24862803a7aac8a12faa319ca

Aliases

arxiv: 1501.01072 · arxiv_version: 1501.01072v1 · doi: 10.48550/arxiv.1501.01072 · pith_short_12: JZRWI2ED5FVS · pith_short_16: JZRWI2ED5FVS5NOZ · pith_short_8: JZRWI2ED
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JZRWI2ED5FVS5NOZGPRBHS7YN3 \
  | 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: 4e63646883e96b2eb5d933e213cbf86eec2bbaa24862803a7aac8a12faa319ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2af499f0cdc1514a2fb0b878d3057459dad48c47216bf56f1ca3d521b08e236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-06T04:14:48Z",
    "title_canon_sha256": "4fa1f95695a24de3c0c5852df36896b59212903dad09b7857d86362fb364859e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01072",
    "kind": "arxiv",
    "version": 1
  }
}