Pith Number

pith:I37WTJYC

pith:2019:I37WTJYCCSIXOYXHK6KOJC3GMS

not attested not anchored not stored refs pending

Dispersive estimates for time and space fractional Schr\"odinger equations

Miao Li, Shiliang Zhao, Xiaoyan Su

arxiv:1901.00957 v1 · 2019-01-04 · 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{I37WTJYCCSIXOYXHK6KOJC3GMS}

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	2026-05-17T23:56:57.576095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ff69a70214917762e75794e48b666499794385e3ee4e08f1631cb39905eefd

Aliases

arxiv: 1901.00957 · arxiv_version: 1901.00957v1 · doi: 10.48550/arxiv.1901.00957 · pith_short_12: I37WTJYCCSIX · pith_short_16: I37WTJYCCSIXOYXH · pith_short_8: I37WTJYC

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/I37WTJYCCSIXOYXHK6KOJC3GMS \
  | 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: 46ff69a70214917762e75794e48b666499794385e3ee4e08f1631cb39905eefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cabebe3e71c4361d0977e92bf984c0174f2502862dc29c86c7a56d59295cc37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-04T00:38:36Z",
    "title_canon_sha256": "7571d4f0865f0297855de0a6cd41c7ee908934b3001e669a588200a7e059d9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00957",
    "kind": "arxiv",
    "version": 1
  }
}