Pith Number

pith:H56U7SQS

pith:2015:H56U7SQSYBDHKB32QT4443RXWO

not attested not anchored not stored refs pending

Well-posedness and scattering for the mass-energy NLS on $\mathbf{R}^n\times \mathcal M^k$

Mirko Tarulli

arxiv:1510.01710 v2 · 2015-10-06 · 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{H56U7SQSYBDHKB32QT4443RXWO}

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	2026-05-18T01:17:59.665244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7d4fca12c04675077a84f9ce6e37b3b2a4f1d806c25324287105ce7eb19259

Aliases

arxiv: 1510.01710 · arxiv_version: 1510.01710v2 · doi: 10.48550/arxiv.1510.01710 · pith_short_12: H56U7SQSYBDH · pith_short_16: H56U7SQSYBDHKB32 · pith_short_8: H56U7SQS

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/H56U7SQSYBDHKB32QT4443RXWO \
  | 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: 3f7d4fca12c04675077a84f9ce6e37b3b2a4f1d806c25324287105ce7eb19259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500e549e8b0d073f9d56c25ecb9e1e227f579f75fec88a37f0c6c81c4e42884f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-06T19:22:32Z",
    "title_canon_sha256": "14ff6ad39ca6b890bf0cd9ea7f94ac3e46f462eba3bf89d871730e3cbe0fdda0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01710",
    "kind": "arxiv",
    "version": 2
  }
}