Pith Number

pith:I2N2GR6I

pith:2015:I2N2GR6IK6AJV2PLT773BV436J

not attested not anchored not stored refs pending

On the Unboundedness of Higher Regularity Sobolev Norms of Solutions for the Critical Schr\"odinger-Debye System with Vanishing Relaxation Delay

Ad\'an J. Corcho, Jorge Drumond Silva

arxiv:1510.02434 v3 · 2015-10-08 · 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{I2N2GR6IK6AJV2PLT773BV436J}

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	2026-05-18T01:10:15.010480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469ba347c857809ae9eb9fffb0d79bf278c4c517376d768eaeb2a27195e4b62a

Aliases

arxiv: 1510.02434 · arxiv_version: 1510.02434v3 · doi: 10.48550/arxiv.1510.02434 · pith_short_12: I2N2GR6IK6AJ · pith_short_16: I2N2GR6IK6AJV2PL · pith_short_8: I2N2GR6I

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/I2N2GR6IK6AJV2PLT773BV436J \
  | 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: 469ba347c857809ae9eb9fffb0d79bf278c4c517376d768eaeb2a27195e4b62a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489e34fd736027a937dd2f16c2aaafdcdc38ce4f2813ae1cff9f810035a40ec2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-08T18:37:02Z",
    "title_canon_sha256": "535ea287e25c3430b276875f348760b857e3f1128207e246d405457b448846f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02434",
    "kind": "arxiv",
    "version": 3
  }
}