Pith Number

pith:O3NEB6WE

pith:2016:O3NEB6WE4APRAJQQ233WRCWQQB

not attested not anchored not stored refs pending

Retrolensing by a charged black hole

Naoki Tsukamoto, Yungui Gong

arxiv:1612.08250 v2 · 2016-12-25 · 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{O3NEB6WE4APRAJQQ233WRCWQQB}

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	2026-05-18T00:48:05.126827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76da40fac4e01f102610d6f7688ad0806f9b5c6ff19f045c0a7f50aec3bc8bdc

Aliases

arxiv: 1612.08250 · arxiv_version: 1612.08250v2 · doi: 10.48550/arxiv.1612.08250 · pith_short_12: O3NEB6WE4APR · pith_short_16: O3NEB6WE4APRAJQQ · pith_short_8: O3NEB6WE

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/O3NEB6WE4APRAJQQ233WRCWQQB \
  | 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: 76da40fac4e01f102610d6f7688ad0806f9b5c6ff19f045c0a7f50aec3bc8bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007f9b6473cf4a92cc56a18ce32be1d423a66e15dcc93e2eaef0841694a885f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-12-25T08:26:48Z",
    "title_canon_sha256": "042f881636e7ae25b896fde02b29602a154a162dee5e3ba83c1ee3dc53038c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08250",
    "kind": "arxiv",
    "version": 2
  }
}