Pith Number

pith:5VGYZ4QM

pith:2015:5VGYZ4QMBWCGB2YQUEPVMLUDZF

not attested not anchored not stored refs pending

Blowup for fractional NLS

Dominik Himmelsbach, Enno Lenzmann, Thomas Boulenger

arxiv:1509.08845 v2 · 2015-09-29 · 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{5VGYZ4QMBWCGB2YQUEPVMLUDZF}

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	2026-05-18T01:30:33.910513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed4d8cf20c0d8460eb10a11f562e83c95cc7dd6eff04667e8d0d6671db5e82c1

Aliases

arxiv: 1509.08845 · arxiv_version: 1509.08845v2 · doi: 10.48550/arxiv.1509.08845 · pith_short_12: 5VGYZ4QMBWCG · pith_short_16: 5VGYZ4QMBWCGB2YQ · pith_short_8: 5VGYZ4QM

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/5VGYZ4QMBWCGB2YQUEPVMLUDZF \
  | 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: ed4d8cf20c0d8460eb10a11f562e83c95cc7dd6eff04667e8d0d6671db5e82c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20aaa11684ce7607b81a3641bb3301e6287a037dbdf7411e64fb5f4d93ac297",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-29T16:53:53Z",
    "title_canon_sha256": "9269bb2a5820862863fe37ca8ffc6e82954e8692ea744fc0812d2991f42201e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08845",
    "kind": "arxiv",
    "version": 2
  }
}