Pith Number

pith:AAK27RHF

pith:2011:AAK27RHFXXLOPU4P44ZRYLVWYY

not attested not anchored not stored refs pending

Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type

Alain Pham Ngoc Dinh (MAPMO), Le Thi Phuong Ngoc, Le Xuan Truong, Nguyen Thanh Long (UNS-HCMC)

arxiv:1104.2395 v1 · 2011-04-13 · 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{AAK27RHFXXLOPU4P44ZRYLVWYY}

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	2026-05-18T04:24:34.836856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0015afc4e5bdd6e7d38fe7331c2eb6c60a2eab06528dc6e284bbfaa9f190d0eb

Aliases

arxiv: 1104.2395 · arxiv_version: 1104.2395v1 · doi: 10.48550/arxiv.1104.2395 · pith_short_12: AAK27RHFXXLO · pith_short_16: AAK27RHFXXLOPU4P · pith_short_8: AAK27RHF

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/AAK27RHFXXLOPU4P44ZRYLVWYY \
  | 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: 0015afc4e5bdd6e7d38fe7331c2eb6c60a2eab06528dc6e284bbfaa9f190d0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a23161f176f7344f5c42fe724851f3e7025df2d8690498307a04a2a05b79344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-13T07:01:21Z",
    "title_canon_sha256": "11cb56344fd9b3ed29dcec534b0624aa9b24aceadf119ac74dd602ccf6aa8c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2395",
    "kind": "arxiv",
    "version": 1
  }
}