Pith Number

pith:4BZB34ML

pith:2013:4BZB34MLAEYOPUBFAZDNFMF7ZV

not attested not anchored not stored refs pending

Global solutions for a nonlocal Ginzberg-Landau equation and a nonlocal Fokker-Plank equation

Hongjun Gao, Jinchun He, Jinqiao Duan

arxiv:1312.5836 v1 · 2013-12-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BZB34MLAEYOPUBFAZDNFMF7ZV}

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	2026-05-18T03:04:07.725107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0721df18b0130e7d0250646d2b0bfcd41a44d070b482444cf2b57d1ade576e2

Aliases

arxiv: 1312.5836 · arxiv_version: 1312.5836v1 · doi: 10.48550/arxiv.1312.5836 · pith_short_12: 4BZB34MLAEYO · pith_short_16: 4BZB34MLAEYOPUBF · pith_short_8: 4BZB34ML

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/4BZB34MLAEYOPUBFAZDNFMF7ZV \
  | 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: e0721df18b0130e7d0250646d2b0bfcd41a44d070b482444cf2b57d1ade576e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50bac3ebe785fd0c143d383ea1aaa58eb7c981c1ae57e577a05227d44c85157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-20T07:47:39Z",
    "title_canon_sha256": "6d00598e84826d596de4e8282da7b2e5f9a915484be9d5e33acd2c73a073a4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5836",
    "kind": "arxiv",
    "version": 1
  }
}