Pith Number

pith:6HX65DXW

pith:2015:6HX65DXW5HWIDSKUPNW4W6COSX

not attested not anchored not stored refs pending

Long time existence for semilinear wave equations on asymptotically flat space-times

Chengbo Wang

arxiv:1504.05652 v4 · 2015-04-22 · 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{6HX65DXW5HWIDSKUPNW4W6COSX}

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	2026-05-18T00:23:57.487788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1efee8ef6e9ec81c9547b6dcb784e95cd2f9b8f55230febe70d20d01e08196a

Aliases

arxiv: 1504.05652 · arxiv_version: 1504.05652v4 · doi: 10.48550/arxiv.1504.05652 · pith_short_12: 6HX65DXW5HWI · pith_short_16: 6HX65DXW5HWIDSKU · pith_short_8: 6HX65DXW

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/6HX65DXW5HWIDSKUPNW4W6COSX \
  | 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: f1efee8ef6e9ec81c9547b6dcb784e95cd2f9b8f55230febe70d20d01e08196a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95e854d700ab61d65c264b6dd6291dd86379b18f25afd0a1e8b9c73d3e5e897",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-22T04:42:09Z",
    "title_canon_sha256": "b5a33688b8ade6028b641b30c7e6bb8db7e60f4001e4b3ecfce67a3478e5562d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05652",
    "kind": "arxiv",
    "version": 4
  }
}