Pith Number

pith:IPCAQU6H

pith:2013:IPCAQU6HQXU6YBMQ745YOF5EK5

not attested not anchored not stored refs pending

Self-diffusion and cross-diffusion equations: $w^{1,p}$-estimates and global existence of smooth solutions

Luan T. Hoang, Truyen V. Nguyen, Tuoc V. Phan

arxiv:1311.6828 v1 · 2013-11-26 · 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{IPCAQU6HQXU6YBMQ745YOF5EK5}

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	2026-05-18T03:06:05.385560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43c40853c785e9ec0590ff3b8717a45745ed6bc00a7ff0673ff00b6faf80c1c4

Aliases

arxiv: 1311.6828 · arxiv_version: 1311.6828v1 · doi: 10.48550/arxiv.1311.6828 · pith_short_12: IPCAQU6HQXU6 · pith_short_16: IPCAQU6HQXU6YBMQ · pith_short_8: IPCAQU6H

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/IPCAQU6HQXU6YBMQ745YOF5EK5 \
  | 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: 43c40853c785e9ec0590ff3b8717a45745ed6bc00a7ff0673ff00b6faf80c1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36f638ec8de3b55fede869debb630acfb8e9355021f6487fa929ccbf96887dda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-26T21:52:23Z",
    "title_canon_sha256": "c05b7aa247053894f388569574b189298f1544a01aff490b128ecb3fb846b558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6828",
    "kind": "arxiv",
    "version": 1
  }
}