Pith Number

pith:THBKMBLK

pith:2017:THBKMBLKCUCCSP4SYI2PDIFYWJ

not attested not anchored not stored refs pending

Retrolensing by a wormhole at deflection angles $\pi$ and $3\pi$

Naoki Tsukamoto

arxiv:1701.09169 v2 · 2017-01-31 · 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{THBKMBLKCUCCSP4SYI2PDIFYWJ}

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.

Cited by

1 paper in Pith

Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics

Receipt and verification

First computed	2026-05-18T00:46:26.123613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c2a6056a1504293f92c234f1a0b8b25b88f42da8a089d41dbb45dd61cae0ba

Aliases

arxiv: 1701.09169 · arxiv_version: 1701.09169v2 · doi: 10.48550/arxiv.1701.09169 · pith_short_12: THBKMBLKCUCC · pith_short_16: THBKMBLKCUCCSP4S · pith_short_8: THBKMBLK

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/THBKMBLKCUCCSP4SYI2PDIFYWJ \
  | 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: 99c2a6056a1504293f92c234f1a0b8b25b88f42da8a089d41dbb45dd61cae0ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65bc32a61b2686bc8fdb8c6eee948a8a4d6e284cb738f84574ba35737b090d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-31T18:32:19Z",
    "title_canon_sha256": "e2995501c46f439a91c2db96ee64f6f24974ecd55b56e76e4f9d1bd3d8c7883c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09169",
    "kind": "arxiv",
    "version": 2
  }
}