Pith Number

pith:YXTYR5YQ

pith:2021:YXTYR5YQYOX6W3X72R74C2RREV

not attested not anchored not stored refs pending

Gravitational distortion on photon state at the vicinity of the Earth

Ebrahim Karimi, Qasem Exirifard

arxiv:2110.13990 v2 · 2021-10-26 · gr-qc · hep-th · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXTYR5YQYOX6W3X72R74C2RREV}

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	2026-07-05T04:13:10.966168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e788f710c3afeb6effd47fc16a31255b8372c3b4e83531acd692de0756bcd5

Aliases

arxiv: 2110.13990 · arxiv_version: 2110.13990v2 · doi: 10.48550/arxiv.2110.13990 · pith_short_12: YXTYR5YQYOX6 · pith_short_16: YXTYR5YQYOX6W3X7 · pith_short_8: YXTYR5YQ

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/YXTYR5YQYOX6W3X72R74C2RREV \
  | 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: c5e788f710c3afeb6effd47fc16a31255b8372c3b4e83531acd692de0756bcd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44edbf457130431d51c82a4a37f3c4faafe907e97ecb9b918e52be8df55cf0d",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-10-26T19:49:21Z",
    "title_canon_sha256": "ab1843ab274b66c6fb37f74f72d9d46911c630aa340699c358bc93b7690f72dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13990",
    "kind": "arxiv",
    "version": 2
  }
}