Pith Number

pith:UDZUXTQG

pith:2012:UDZUXTQGALX6NGMGZY7YCKZKVZ

not attested not anchored not stored refs pending

Small data blow-up for a system of nonlinear Schr\"odinger equations

Hideaki Sunagawa, Tohru Ozawa

arxiv:1210.0606 v1 · 2012-10-02 · 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{UDZUXTQGALX6NGMGZY7YCKZKVZ}

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	2026-05-18T03:44:14.803720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f34bce0602efe69986ce3f812b2aae5189b0bd3306494e4922a83cfef8659f

Aliases

arxiv: 1210.0606 · arxiv_version: 1210.0606v1 · doi: 10.48550/arxiv.1210.0606 · pith_short_12: UDZUXTQGALX6 · pith_short_16: UDZUXTQGALX6NGMG · pith_short_8: UDZUXTQG

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/UDZUXTQGALX6NGMGZY7YCKZKVZ \
  | 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: a0f34bce0602efe69986ce3f812b2aae5189b0bd3306494e4922a83cfef8659f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67fd56c066cd9cffd05a1be4187288380e838883a59b57de89b391ba9ee47bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-02T00:13:51Z",
    "title_canon_sha256": "a28153ecb974a5bdae8ac4b5352e70525d011377749f0f550c06b5aea396128c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0606",
    "kind": "arxiv",
    "version": 1
  }
}