Pith Number

pith:64OZZM2T

pith:2013:64OZZM2TAGGN2VP35NHM6AFHTT

not attested not anchored not stored refs pending

Concentration behavior of standing waves for almost mass critical nonlinear Schr\"{o}dinger equations

Huan-Song Zhou, Xiaoyu Zeng, Yujin Guo

arxiv:1312.5810 v1 · 2013-12-20 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64OZZM2TAGGN2VP35NHM6AFHTT}

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	2026-05-18T02:27:44.811170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71d9cb353018cdd55fbeb4ecf00a79cf817bd6fb227ee0cfff45a2995aa8e5f

Aliases

arxiv: 1312.5810 · arxiv_version: 1312.5810v1 · doi: 10.48550/arxiv.1312.5810 · pith_short_12: 64OZZM2TAGGN · pith_short_16: 64OZZM2TAGGN2VP3 · pith_short_8: 64OZZM2T

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/64OZZM2TAGGN2VP35NHM6AFHTT \
  | 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: f71d9cb353018cdd55fbeb4ecf00a79cf817bd6fb227ee0cfff45a2995aa8e5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1919b3003ef266f30cab658b2d9dd92074e5034fa92345feb889c96f78d22da",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-20T04:39:32Z",
    "title_canon_sha256": "4dc8dfa73b9a5360c23ee913bd2b232e6134bf02bcddba039a01c0fe27d2133c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5810",
    "kind": "arxiv",
    "version": 1
  }
}