Pith Number

pith:T3GLMLXZ

pith:2021:T3GLMLXZFNGQIH733CFW2TCLWC

not attested not anchored not stored refs pending

Threshold scattering for the focusing NLS with a repulsive potential

Changxing Miao, Jason Murphy, Jiqiang Zheng

arxiv:2102.07163 v1 · 2021-02-14 · 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{T3GLMLXZFNGQIH733CFW2TCLWC}

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	2026-07-05T06:08:50.412340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eccb62ef92b4d041ffbd88b6d4c4bb08d5f925c915ef38e507362e3388e8ac2

Aliases

arxiv: 2102.07163 · arxiv_version: 2102.07163v1 · doi: 10.48550/arxiv.2102.07163 · pith_short_12: T3GLMLXZFNGQ · pith_short_16: T3GLMLXZFNGQIH73 · pith_short_8: T3GLMLXZ

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/T3GLMLXZFNGQIH733CFW2TCLWC \
  | 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: 9eccb62ef92b4d041ffbd88b6d4c4bb08d5f925c915ef38e507362e3388e8ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7133194e3d5d97ea17273284808883290cef4edb81299bd347f6281797f77b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-14T14:45:56Z",
    "title_canon_sha256": "9db0819dca5076e0d206acbe2679625fe82622a2d869a60c03d761d9c73e041b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.07163",
    "kind": "arxiv",
    "version": 1
  }
}