Pith Number

pith:OSJJZNGE

pith:2026:OSJJZNGEZW4BBVBKHQFHX34RM6

not attested not anchored not stored refs pending

The Direct Wave is Not a Meaningful Test of Horizon Properties

Anuj Kankani, Sean T. McWilliams

arxiv:2607.02380 v1 · 2026-07-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OSJJZNGEZW4BBVBKHQFHX34RM6}

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	2026-07-03T01:17:57.226138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74929cb4c4cdb810d42a3c0a7bef916786d1cf5002575aff2fbc0f6c91e02a0b

Aliases

arxiv: 2607.02380 · arxiv_version: 2607.02380v1 · doi: 10.48550/arxiv.2607.02380 · pith_short_12: OSJJZNGEZW4B · pith_short_16: OSJJZNGEZW4BBVBK · pith_short_8: OSJJZNGE

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/OSJJZNGEZW4BBVBKHQFHX34RM6 \
  | 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: 74929cb4c4cdb810d42a3c0a7bef916786d1cf5002575aff2fbc0f6c91e02a0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a13ec58c44bd2bc10fd47ff7db4d38964f5c154184689de9fe6133ef2e0ca19d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-02T16:17:52Z",
    "title_canon_sha256": "ab83f7a5f29d3ef170cec0bf497ce71fc1c5fd7afc85f4c5ba5c7a74c0e81d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02380",
    "kind": "arxiv",
    "version": 1
  }
}