Pith Number

pith:HQ6QJIUM

pith:2019:HQ6QJIUMH5J2MXJSNZ74ECT6VP

not attested not anchored not stored refs pending

Long-time dynamics of small solutions to the Manakov system with initial data in the weighted $L^{2}$ space

Gong Chen

arxiv:1907.07244 v2 · 2019-07-16 · 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{HQ6QJIUMH5J2MXJSNZ74ECT6VP}

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	2026-05-17T23:39:39.236891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3d04a28c3f53a65d326e7fc20a7eabd7795e17d7077cd68c3416ecfb1f16d3

Aliases

arxiv: 1907.07244 · arxiv_version: 1907.07244v2 · doi: 10.48550/arxiv.1907.07244 · pith_short_12: HQ6QJIUMH5J2 · pith_short_16: HQ6QJIUMH5J2MXJS · pith_short_8: HQ6QJIUM

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/HQ6QJIUMH5J2MXJSNZ74ECT6VP \
  | 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: 3c3d04a28c3f53a65d326e7fc20a7eabd7795e17d7077cd68c3416ecfb1f16d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14592d3d0da69eae61ea982d73b6b7a25205979f4687141aec54a1e9249955db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-16T20:14:46Z",
    "title_canon_sha256": "18ebad6611dae98e36209231327798d76e22368ddd92000ef82448989d7f4d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07244",
    "kind": "arxiv",
    "version": 2
  }
}