Pith Number

pith:FJSNTRHF

pith:2011:FJSNTRHF3FS7ZD4FT2O6JIYTEL

not attested not anchored not stored refs pending

Dynamics for the focusing, energy-critical nonlinear Hartree equation

Changxing Miao, Guixiang Xu, Yifei Wu

arxiv:1104.1229 v1 · 2011-04-07 · 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{FJSNTRHF3FS7ZD4FT2O6JIYTEL}

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	2026-05-18T02:27:51.416829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a64d9c4e5d965fc8f859e9de4a31322dcf1744341a57696358f633ce606836e

Aliases

arxiv: 1104.1229 · arxiv_version: 1104.1229v1 · doi: 10.48550/arxiv.1104.1229 · pith_short_12: FJSNTRHF3FS7 · pith_short_16: FJSNTRHF3FS7ZD4F · pith_short_8: FJSNTRHF

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/FJSNTRHF3FS7ZD4FT2O6JIYTEL \
  | 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: 2a64d9c4e5d965fc8f859e9de4a31322dcf1744341a57696358f633ce606836e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b5ba40a616f70f61964463d9581c3c2ad68ca2538d9d7ed012fbd1855ce39a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-07T01:37:11Z",
    "title_canon_sha256": "686583999d5e9e3352aefc481aeded0ed8a2ade2ad81fe13574faaae5f1d92a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1229",
    "kind": "arxiv",
    "version": 1
  }
}