Pith Number

pith:JBBJIVKB

pith:2020:JBBJIVKB575KHFQTQGBKIM6PXR

not attested not anchored not stored refs pending

Universal time delay in static spherically symmetric spacetimes for null and timelike signals

Haotian Liu, Junji Jia

arxiv:2006.03542 v2 · 2020-06-05 · 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{JBBJIVKB575KHFQTQGBKIM6PXR}

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	2026-07-05T03:10:24.924098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4842945541effaa396138182a433cfbc44c94e7f03a2989d14189522debb7a5d

Aliases

arxiv: 2006.03542 · arxiv_version: 2006.03542v2 · doi: 10.48550/arxiv.2006.03542 · pith_short_12: JBBJIVKB575K · pith_short_16: JBBJIVKB575KHFQT · pith_short_8: JBBJIVKB

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/JBBJIVKB575KHFQTQGBKIM6PXR \
  | 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: 4842945541effaa396138182a433cfbc44c94e7f03a2989d14189522debb7a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb1fd3e3b1d4c95833378bb2da856b9c96998910279a4f9c43e975d39dc116d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-06-05T16:29:15Z",
    "title_canon_sha256": "df0b76acd075225010207ab71db93f9bcc95bdbc2e33be12114828541a9763cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.03542",
    "kind": "arxiv",
    "version": 2
  }
}