Pith Number

pith:TB2SZMSH

pith:2020:TB2SZMSHV4F6RRYXF2MDRA5TM5

not attested not anchored not stored refs pending

Null Geodesics and Improved Unique Continuation for Waves in Asymptotically Anti-de Sitter Spacetimes

Alex McGill, Arick Shao

arxiv:2008.07416 v1 · 2020-08-17 · 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{TB2SZMSHV4F6RRYXF2MDRA5TM5}

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	2026-07-05T02:11:59.324251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98752cb247af0be8c7172e983883b3675b67281417ee1f0469bfd73390ccedb6

Aliases

arxiv: 2008.07416 · arxiv_version: 2008.07416v1 · doi: 10.48550/arxiv.2008.07416 · pith_short_12: TB2SZMSHV4F6 · pith_short_16: TB2SZMSHV4F6RRYX · pith_short_8: TB2SZMSH

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/TB2SZMSHV4F6RRYXF2MDRA5TM5 \
  | 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: 98752cb247af0be8c7172e983883b3675b67281417ee1f0469bfd73390ccedb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34be068faecec1ca05d07cf45923d97017eee14c4cd06b25723a26b4ea7058e8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-08-17T15:41:38Z",
    "title_canon_sha256": "6a5a7a10e5111c5e663adb9ecabaf89a2c4e4d284fdfdc3e062ae05c1542913b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.07416",
    "kind": "arxiv",
    "version": 1
  }
}