Pith Number

pith:QPNXN34J

pith:2010:QPNXN34JPMFBY3CHLXG7IVHET5

not attested not anchored not stored refs pending

Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions

Piotr T. Chru\'sciel, Roger Tagne Wafo

arxiv:1010.2387 v1 · 2010-10-12 · gr-qc · 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{QPNXN34JPMFBY3CHLXG7IVHET5}

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	2026-05-18T04:39:28.107111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83db76ef897b0a1c6c475dcdf454e49f6ccbddc3e44d2077d0425c3a75dda424

Aliases

arxiv: 1010.2387 · arxiv_version: 1010.2387v1 · doi: 10.48550/arxiv.1010.2387 · pith_short_12: QPNXN34JPMFB · pith_short_16: QPNXN34JPMFBY3CH · pith_short_8: QPNXN34J

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/QPNXN34JPMFBY3CHLXG7IVHET5 \
  | 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: 83db76ef897b0a1c6c475dcdf454e49f6ccbddc3e44d2077d0425c3a75dda424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eab1b96b221aad961be2413f15d2695345ad5ae278958a81ecc62c93155e6fc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-12T13:35:11Z",
    "title_canon_sha256": "1e350b8e909d99700458c03262a3ec81c4427597cfe281a586cff654cceaa6c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2387",
    "kind": "arxiv",
    "version": 1
  }
}