Pith Number

pith:QLK7DHVJ

pith:2017:QLK7DHVJSFCKXMKMSEEI55PKSN

not attested not anchored not stored refs pending

Morawetz estimate for linearized gravity in Schwarzschild

Jinhua Wang, Lars Andersson, Pieter Blue

arxiv:1708.06943 v2 · 2017-08-23 · math.AP · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLK7DHVJSFCKXMKMSEEI55PKSN}

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	2026-05-18T00:36:47.143380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d5f19ea99144abb14c91088ef5ea9378ba2629582eb4c5605f5cf73bdb5a05

Aliases

arxiv: 1708.06943 · arxiv_version: 1708.06943v2 · doi: 10.48550/arxiv.1708.06943 · pith_short_12: QLK7DHVJSFCK · pith_short_16: QLK7DHVJSFCKXMKM · pith_short_8: QLK7DHVJ

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/QLK7DHVJSFCKXMKMSEEI55PKSN \
  | 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: 82d5f19ea99144abb14c91088ef5ea9378ba2629582eb4c5605f5cf73bdb5a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a99f48139ff87dd363c30265897ce1844f0fc839c3d075204ad6a8d64b79edc",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-23T10:07:58Z",
    "title_canon_sha256": "d5d7b309c69fa3283f623780d048400652e8ac85fcb94e96dcf65c6c7def3e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06943",
    "kind": "arxiv",
    "version": 2
  }
}