pith. sign in
Pith Number

pith:LYDDSWCX

pith:2008:LYDDSWCXLKOQ7B4UIVTCBZWXF3
not attested not anchored not stored refs pending

Optics in a field of gravity

E. Eriksen, O. Gron

arxiv:0812.2816 v3 · 2008-12-15 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LYDDSWCXLKOQ7B4UIVTCBZWXF3}

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 2026-05-18T04:37:22.854878Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5e063958575a9d0f8794456620e6d72ec4d0d238edf419d025083184927463ad

Aliases

arxiv: 0812.2816 · arxiv_version: 0812.2816v3 · doi: 10.48550/arxiv.0812.2816 · pith_short_12: LYDDSWCXLKOQ · pith_short_16: LYDDSWCXLKOQ7B4U · pith_short_8: LYDDSWCX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LYDDSWCXLKOQ7B4UIVTCBZWXF3 \
  | 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: 5e063958575a9d0f8794456620e6d72ec4d0d238edf419d025083184927463ad
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8c8c83ad4e51a03a6fb6026ec1eab14c4ccaf13993c0bbf8c1415b4d697f1e05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-12-15T14:32:57Z",
    "title_canon_sha256": "699a82664868ab063d5fd1fb81b2295955ddbd8c089f375aae80c121ee3217e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2816",
    "kind": "arxiv",
    "version": 3
  }
}