Pith Number

pith:MTGJD32H

pith:2011:MTGJD32HLEJZEC7NPWMF7ME5PE

not attested not anchored not stored refs pending

Scattering for the focusing energy-subcritical NLS

Daoyuan Fang, Jian Xie, Thierry Cazenave

arxiv:1101.3058 v1 · 2011-01-16 · 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{MTGJD32HLEJZEC7NPWMF7ME5PE}

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	2026-05-18T04:31:30.525345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64cc91ef475913920bed7d985fb09d793e4b1a33eb6d113f951ec85fecf10d3e

Aliases

arxiv: 1101.3058 · arxiv_version: 1101.3058v1 · doi: 10.48550/arxiv.1101.3058 · pith_short_12: MTGJD32HLEJZ · pith_short_16: MTGJD32HLEJZEC7N · pith_short_8: MTGJD32H

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/MTGJD32HLEJZEC7NPWMF7ME5PE \
  | 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: 64cc91ef475913920bed7d985fb09d793e4b1a33eb6d113f951ec85fecf10d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49b81cf382da5f0c225222a0f1be1d67b99a75a14eb6541ea3eff9010b17709f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-16T09:20:22Z",
    "title_canon_sha256": "99fa0c08ec96b391948e8a21679b279070dad71924e8a3f8ec93e58ba70c3fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3058",
    "kind": "arxiv",
    "version": 1
  }
}