Pith Number

pith:VDB245TV

pith:2014:VDB245TVEMBIATLGWZH7IEEFUM

not attested not anchored not stored refs pending

Blow-Up of Positive Solutions to Wave Equations in High Space Dimensions

Hiroshi Uesaka, Hiroyuki Takamura, Kyouhei Wakasa, Mohammad Rammaha

arxiv:1408.0447 v1 · 2014-08-03 · 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{VDB245TVEMBIATLGWZH7IEEFUM}

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	2026-05-18T00:22:21.446119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c3ae76752302804d66b64ff41085a325b50ed2301c7701b5095da5de933ead

Aliases

arxiv: 1408.0447 · arxiv_version: 1408.0447v1 · doi: 10.48550/arxiv.1408.0447 · pith_short_12: VDB245TVEMBI · pith_short_16: VDB245TVEMBIATLG · pith_short_8: VDB245TV

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/VDB245TVEMBIATLGWZH7IEEFUM \
  | 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: a8c3ae76752302804d66b64ff41085a325b50ed2301c7701b5095da5de933ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa084177684e574be2fb2f35781e30d8b8d938e4f133832097ff5b8f870e53d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-03T01:33:57Z",
    "title_canon_sha256": "0b974d8d9b05e1c0a2102651863b0508570833b6c41b72f0b176596319ba2632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0447",
    "kind": "arxiv",
    "version": 1
  }
}