Pith Number

pith:6M22REDH

pith:2018:6M22REDH7ZVPVPOX6BK7NQPYTN

not attested not anchored not stored refs pending

Light rays and waves on geodesic lenses

Chong Sheng, Huanyang Chen, Hui Liu, Lin Xu, Shining Zhu, Tom\'a\v{s} Tyc, Xiangyang Wang

arxiv:1801.10438 v1 · 2018-01-31 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6M22REDH7ZVPVPOX6BK7NQPYTN}

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	2026-05-18T00:24:40.835070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f335a89067fe6afabdd7f055f6c1f89b594906eb2c62f7ac6f2f0e3cf3192a80

Aliases

arxiv: 1801.10438 · arxiv_version: 1801.10438v1 · doi: 10.48550/arxiv.1801.10438 · pith_short_12: 6M22REDH7ZVP · pith_short_16: 6M22REDH7ZVPVPOX · pith_short_8: 6M22REDH

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/6M22REDH7ZVPVPOX6BK7NQPYTN \
  | 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: f335a89067fe6afabdd7f055f6c1f89b594906eb2c62f7ac6f2f0e3cf3192a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c0e2972064cee412e5e86e3a5d5612a57151fdf3c6379e94a1cbb103580f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2018-01-31T13:18:09Z",
    "title_canon_sha256": "6a8a46a574253ccd4d0b5bdad3f7ce55404411287b59310d82336d2955348eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10438",
    "kind": "arxiv",
    "version": 1
  }
}