Pith Number

pith:OIXVZN55

pith:2013:OIXVZN55S5XBPHVZGC27N234MV

not attested not anchored not stored refs pending

An averaging theorem for nonlinear Schr\"odinger equations with small nonlinearities

Guan Huang

arxiv:1312.0759 v1 · 2013-12-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OIXVZN55S5XBPHVZGC27N234MV}

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	2026-05-18T03:05:36.772707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

722f5cb7bd976e179eb930b5f6eb7c657f76aa9412c4d631c132ebb2d094f9f2

Aliases

arxiv: 1312.0759 · arxiv_version: 1312.0759v1 · doi: 10.48550/arxiv.1312.0759 · pith_short_12: OIXVZN55S5XB · pith_short_16: OIXVZN55S5XBPHVZ · pith_short_8: OIXVZN55

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/OIXVZN55S5XBPHVZGC27N234MV \
  | 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: 722f5cb7bd976e179eb930b5f6eb7c657f76aa9412c4d631c132ebb2d094f9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df5288dc3a813a1c51e7812205f0766f28edad4883d74d4bcd79ce5d4ddd113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-03T10:27:44Z",
    "title_canon_sha256": "0c87d335c9516a8788b5f149d1c7a65fe7213cd32b954ace6b2f1b4800d2f9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0759",
    "kind": "arxiv",
    "version": 1
  }
}