Pith Number

pith:3IYRZRFX

pith:2020:3IYRZRFX3DBEONYWNRCO3FVXZP

not attested not anchored not stored refs pending

The $L^{2}$ sequential convergence of a solution to the one dimensional, mass-critical NLS above the ground state

Benjamin Dodson

arxiv:2011.02569 v2 · 2020-11-04 · 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{3IYRZRFX3DBEONYWNRCO3FVXZP}

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	2026-07-05T02:36:08.592017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da311cc4b7d8c24737166c44ed96b7cbdeb383cc9490415c0ce61d20ab4ba1fc

Aliases

arxiv: 2011.02569 · arxiv_version: 2011.02569v2 · doi: 10.48550/arxiv.2011.02569 · pith_short_12: 3IYRZRFX3DBE · pith_short_16: 3IYRZRFX3DBEONYW · pith_short_8: 3IYRZRFX

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/3IYRZRFX3DBEONYWNRCO3FVXZP \
  | 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: da311cc4b7d8c24737166c44ed96b7cbdeb383cc9490415c0ce61d20ab4ba1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fe188343aeb0e55068a5666046f0925c0db8523907ab03274ac7b42d182db3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-11-04T22:45:38Z",
    "title_canon_sha256": "75bcd8a3857892af543872f582196e1922f6c1497407e7366969e86836a073d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02569",
    "kind": "arxiv",
    "version": 2
  }
}