Pith Number

pith:GZAGAWPC

pith:2016:GZAGAWPCHUPLX2PH3Z4R76CP4X

not attested not anchored not stored refs pending

The existence of stable BGK waves

Yan Guo, Zhiwu Lin

arxiv:1605.01463 v2 · 2016-05-05 · math.AP · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZAGAWPCHUPLX2PH3Z4R76CP4X}

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	2026-05-18T00:45:49.510520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36406059e23d1ebbe9e7de791ff84fe5d15167b5b8fcb02c1ed40ae0b5ddabe2

Aliases

arxiv: 1605.01463 · arxiv_version: 1605.01463v2 · doi: 10.48550/arxiv.1605.01463 · pith_short_12: GZAGAWPCHUPL · pith_short_16: GZAGAWPCHUPLX2PH · pith_short_8: GZAGAWPC

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/GZAGAWPCHUPLX2PH3Z4R76CP4X \
  | 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: 36406059e23d1ebbe9e7de791ff84fe5d15167b5b8fcb02c1ed40ae0b5ddabe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444e75e5ca4e9ab576b23c7bdd1e2eaad50574bcf36b1b5394a7af8036e6f4a6",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-05T00:27:27Z",
    "title_canon_sha256": "a1697d70ca4eb4aa3c52a38809aeb67d52c8fddbef095488ba1c0bdb59c673f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01463",
    "kind": "arxiv",
    "version": 2
  }
}