Pith Number

pith:BNPZIINX

pith:2017:BNPZIINXCRR3LTODUQCEDPRWO7

not attested not anchored not stored refs pending

Selected spherical photon orbits around a deformed Kerr black hole

Changqing Liu, Chikun Ding, Jiliang Jing

arxiv:1712.03860 v2 · 2017-12-11 · 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{BNPZIINXCRR3LTODUQCEDPRWO7}

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	2026-05-18T00:07:11.275897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b5f9421b71463b5cdc3a40441be3677da080367649d132bde9b0264fcbe6d81

Aliases

arxiv: 1712.03860 · arxiv_version: 1712.03860v2 · doi: 10.48550/arxiv.1712.03860 · pith_short_12: BNPZIINXCRR3 · pith_short_16: BNPZIINXCRR3LTOD · pith_short_8: BNPZIINX

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/BNPZIINXCRR3LTODUQCEDPRWO7 \
  | 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: 0b5f9421b71463b5cdc3a40441be3677da080367649d132bde9b0264fcbe6d81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7dfdfa33c12c1b6b801126fbe0d14959b090a86eca4642cabde87ecc27e071",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-12-11T16:09:23Z",
    "title_canon_sha256": "74d72cf18636c2cbe354a9b05c43a7b9367757576656fa8ed1f4b3eebd2c8161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03860",
    "kind": "arxiv",
    "version": 2
  }
}