Pith Number

pith:CI2D43EH

pith:2011:CI2D43EHQUD76LDGGG7TJIZAXT

not attested not anchored not stored refs pending

The dynamics of the 3D radial NLS with the combined terms

Changxing Miao, Guixiang Xu, Lifeng Zhao

arxiv:1111.6671 v1 · 2011-11-29 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CI2D43EHQUD76LDGGG7TJIZAXT}

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	2026-05-18T03:27:52.438845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12343e6c878507ff2c6631bf34a320bcedc5edab4392d4b6703cb34e90adf458

Aliases

arxiv: 1111.6671 · arxiv_version: 1111.6671v1 · doi: 10.48550/arxiv.1111.6671 · pith_short_12: CI2D43EHQUD7 · pith_short_16: CI2D43EHQUD76LDG · pith_short_8: CI2D43EH

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/CI2D43EHQUD76LDGGG7TJIZAXT \
  | 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: 12343e6c878507ff2c6631bf34a320bcedc5edab4392d4b6703cb34e90adf458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "450e20d65acdb55a115b068ad138cee5c4771c0c5dcb912baaca16dde58e192b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-29T02:37:43Z",
    "title_canon_sha256": "00943ad1ceba07d30bce72ef87d757ccc0691ec2ad79c142eab75be42ea2c2ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6671",
    "kind": "arxiv",
    "version": 1
  }
}