pith. sign in
Pith Number

pith:PJN2GV2E

pith:2014:PJN2GV2ESU6COPRZO2ISKJCLKM
not attested not anchored not stored refs pending

A new kind of functional differential equations

Cheng Zhang, De-Xing Kong

arxiv:1402.3084 v1 · 2014-02-13 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PJN2GV2ESU6COPRZO2ISKJCLKM}

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 2026-05-18T02:59:07.815796Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7a5ba35744953c273e39769125244b530906057b14508c5d633e039ceae7050c

Aliases

arxiv: 1402.3084 · arxiv_version: 1402.3084v1 · doi: 10.48550/arxiv.1402.3084 · pith_short_12: PJN2GV2ESU6C · pith_short_16: PJN2GV2ESU6COPRZ · pith_short_8: PJN2GV2E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PJN2GV2ESU6COPRZO2ISKJCLKM \
  | 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: 7a5ba35744953c273e39769125244b530906057b14508c5d633e039ceae7050c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a85a9d998a56ddc3cff538e69a012b882c261ba208d2584af7d1da12bd012ca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-13T10:45:34Z",
    "title_canon_sha256": "49f9288d5a7ff15dd8af3fea8f8094bcb6231ffd106a2b5e2578d57a9373579a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3084",
    "kind": "arxiv",
    "version": 1
  }
}