Pith Number

pith:JA427AX2

pith:2020:JA427AX2MMSUTF57TKUKTWQHXO

not attested not anchored not stored refs pending

Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole

Andrea Geralico, Donato Bini, Jan Steinhoff

arxiv:2003.12887 v1 · 2020-03-28 · 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{JA427AX2MMSUTF57TKUKTWQHXO}

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	2026-07-05T01:24:32.964345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4839af82fa63254997bf9aa8a9da07bbb4af36fc2a424f104050a2fea6add3bd

Aliases

arxiv: 2003.12887 · arxiv_version: 2003.12887v1 · doi: 10.48550/arxiv.2003.12887 · pith_short_12: JA427AX2MMSU · pith_short_16: JA427AX2MMSUTF57 · pith_short_8: JA427AX2

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/JA427AX2MMSUTF57TKUKTWQHXO \
  | 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: 4839af82fa63254997bf9aa8a9da07bbb4af36fc2a424f104050a2fea6add3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb4270949d4e297fa0590d4708e5c476b044af675bf935b17b54ec04f7cbb000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-28T20:59:22Z",
    "title_canon_sha256": "45f9410dcc5e902396a831209ddd2bccf178131d42afbf27ec97856b1e6e7529"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12887",
    "kind": "arxiv",
    "version": 1
  }
}