Pith Number

pith:JMVNDPWH

pith:2012:JMVNDPWHYOMXZM5WTSPT4EDXI2

not attested not anchored not stored refs pending

Global existence of null-form wave equations on small asymptotically Euclidean manifolds

Chengbo Wang, Xin Yu

arxiv:1207.5218 v5 · 2012-07-22 · 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{JMVNDPWHYOMXZM5WTSPT4EDXI2}

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	2026-05-18T02:56:32.941948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b2ad1bec7c3997cb3b69c9f3e10774691e81fa3217ea22e392916db8c065638

Aliases

arxiv: 1207.5218 · arxiv_version: 1207.5218v5 · doi: 10.48550/arxiv.1207.5218 · pith_short_12: JMVNDPWHYOMX · pith_short_16: JMVNDPWHYOMXZM5W · pith_short_8: JMVNDPWH

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/JMVNDPWHYOMXZM5WTSPT4EDXI2 \
  | 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: 4b2ad1bec7c3997cb3b69c9f3e10774691e81fa3217ea22e392916db8c065638

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a90def77c5304cfe374978856f673d5e955791f80945fbecf71732b29a1ee1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-22T12:09:35Z",
    "title_canon_sha256": "ccea2ac004d580e0f6e0c029496856e814dae1d46ea015834721ae0d2692407b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5218",
    "kind": "arxiv",
    "version": 5
  }
}