Pith Number

pith:TUFXZ7EG

pith:2010:TUFXZ7EGBQRYTEMQJKX5CKNIOU

not attested not anchored not stored refs pending

Energy and local energy bounds for the 1-D cubic NLS equation in H^{-1/4}

Daniel Tataru, Herbert Koch

arxiv:1012.0148 v1 · 2010-12-01 · 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{TUFXZ7EGBQRYTEMQJKX5CKNIOU}

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	2026-05-18T04:34:18.835895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d0b7cfc860c238991904aafd129a875060a834ecfa916b9e316294a506eea72

Aliases

arxiv: 1012.0148 · arxiv_version: 1012.0148v1 · doi: 10.48550/arxiv.1012.0148 · pith_short_12: TUFXZ7EGBQRY · pith_short_16: TUFXZ7EGBQRYTEMQ · pith_short_8: TUFXZ7EG

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/TUFXZ7EGBQRYTEMQJKX5CKNIOU \
  | 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: 9d0b7cfc860c238991904aafd129a875060a834ecfa916b9e316294a506eea72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdae4ff934a0e8b351e1f1118c0f006a4500a6c354260e4f6574603b720321d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-01T10:25:28Z",
    "title_canon_sha256": "645f72ecc80c1270d6680b267f611887a317dcfc72b4e8b76a868e04d6671297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0148",
    "kind": "arxiv",
    "version": 1
  }
}