Pith Number

pith:2TL5S4FR

pith:2021:2TL5S4FRY36IQNTGBADA7LNBYE

not attested not anchored not stored refs pending

Scattering theory For Quadratic Nonlinear Schr\"odinger System in dimension six

Chengbin Xu, Chuanwei Gao, Fanfei Meng, Jiqiang Zheng

arxiv:2107.05299 v1 · 2021-07-12 · 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{2TL5S4FRY36IQNTGBADA7LNBYE}

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	2026-07-05T02:57:01.484046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d7d970b1c6fc88366608060fada1c11b59588d8311b600d59f614db5322f9a

Aliases

arxiv: 2107.05299 · arxiv_version: 2107.05299v1 · doi: 10.48550/arxiv.2107.05299 · pith_short_12: 2TL5S4FRY36I · pith_short_16: 2TL5S4FRY36IQNTG · pith_short_8: 2TL5S4FR

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/2TL5S4FRY36IQNTGBADA7LNBYE \
  | 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: d4d7d970b1c6fc88366608060fada1c11b59588d8311b600d59f614db5322f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1722b12a0d9c17865eb0e83bf748c36af71914592835f10edc7a0bdd377f1c0a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-07-12T10:20:08Z",
    "title_canon_sha256": "01626c46b4f44d9c408cbc2564533ff1d3c3dd13418dd5279742ab847a9c9b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.05299",
    "kind": "arxiv",
    "version": 1
  }
}