Pith Number

pith:YFE7ATGG

pith:2022:YFE7ATGGNR43L2UNZAOCNHA3GK

not attested not anchored not stored refs pending

Long-time Asymptotic Behavior of the coupled dispersive AB system in Low Regularity Spaces

Jin-yan Zhu, Yong Chen

arxiv:2205.03179 v1 · 2022-05-06 · math.AP · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YFE7ATGGNR43L2UNZAOCNHA3GK}

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	2026-07-05T05:18:31.083039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c149f04cc66c79b5ea8dc81c269c1b32b924bd77cb3730740583933a9305b9d2

Aliases

arxiv: 2205.03179 · arxiv_version: 2205.03179v1 · doi: 10.48550/arxiv.2205.03179 · pith_short_12: YFE7ATGGNR43 · pith_short_16: YFE7ATGGNR43L2UN · pith_short_8: YFE7ATGG

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/YFE7ATGGNR43L2UNZAOCNHA3GK \
  | 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: c149f04cc66c79b5ea8dc81c269c1b32b924bd77cb3730740583933a9305b9d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cad48c67978c0fe7bc111408e4036d74eafa5695bcdd1c26cfd0b216a062834",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-05-06T12:50:41Z",
    "title_canon_sha256": "aa56b24c50ebbe1a3b5c48221a57ee837b37b6c7bcde1fc92191f7a99eea73ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.03179",
    "kind": "arxiv",
    "version": 1
  }
}