Pith Number

pith:3GQIA56A

pith:2026:3GQIA56ABCDJHHX3ALIXKAUXRP

not attested not anchored not stored refs pending

Twin reflections from a moving space-time boundary

Baile Zhang, Francisco J. Garcia-Vidal, Hao Hu, Jiang Xiong, Liangliang Liu, Linyang Zou, Youxiu Yu, Yukun Yang, Yu Luo, Zhuo Li

arxiv:2607.26778 v1 · 2026-07-29 · 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{3GQIA56ABCDJHHX3ALIXKAUXRP}

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	2026-07-30T01:22:16.821718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d9a08077c00886939efb02d17502978bed33fc59e912f39a8b94261325cd2465

Aliases

arxiv: 2607.26778 · arxiv_version: 2607.26778v1 · doi: 10.48550/arxiv.2607.26778 · pith_short_12: 3GQIA56ABCDJ · pith_short_16: 3GQIA56ABCDJHHX3 · pith_short_8: 3GQIA56A

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/3GQIA56ABCDJHHX3ALIXKAUXRP \
  | 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: d9a08077c00886939efb02d17502978bed33fc59e912f39a8b94261325cd2465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cddd0b3c38cf8f50e2b42c33240aae039b0042a776ec967b08f3322f747f93c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-07-29T11:20:52Z",
    "title_canon_sha256": "1e0fab58d632ae706da5093e13e0ac7b653903f990da197b225d437434dd206f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26778",
    "kind": "arxiv",
    "version": 1
  }
}