Pith Number

pith:XKTYFJYN

pith:2018:XKTYFJYNBLA2OHYZVH5FKVG7UI

not attested not anchored not stored refs pending

Exponential Stability Estimates for the 1D NLS

Biasco Luca, Jessica Elisa Massetti, Michela Procesi

arxiv:1810.06440 v1 · 2018-10-15 · 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{XKTYFJYNBLA2OHYZVH5FKVG7UI}

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	2026-05-18T00:03:20.461619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa782a70d0ac1a71f19a9fa5554dfa212a7527a24f079d1ffb7359ff9418c8f

Aliases

arxiv: 1810.06440 · arxiv_version: 1810.06440v1 · doi: 10.48550/arxiv.1810.06440 · pith_short_12: XKTYFJYNBLA2 · pith_short_16: XKTYFJYNBLA2OHYZ · pith_short_8: XKTYFJYN

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/XKTYFJYNBLA2OHYZVH5FKVG7UI \
  | 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: baa782a70d0ac1a71f19a9fa5554dfa212a7527a24f079d1ffb7359ff9418c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afeac0c23eba9e3ae312ff4d9838ed075e5aeed34b3d1db70a9226dcff1b516b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-15T15:00:28Z",
    "title_canon_sha256": "bd56980caa831de937688bf7bc780ad9c369f45ba7c65cccb57c3b404c10ef09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06440",
    "kind": "arxiv",
    "version": 1
  }
}