Pith Number

pith:Y4XOTCMO

pith:2014:Y4XOTCMOSD3KCCTZ2HJBFHH5ER

not attested not anchored not stored refs pending

Negative time delay of light by a gravitational concave lens

Hideki Asada, Koji Izumi, Koki Nakajima

arxiv:1404.2720 v1 · 2014-04-10 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4XOTCMOSD3KCCTZ2HJBFHH5ER}

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

Observational signatures of negative mass wormholes through their shadows

Receipt and verification

First computed	2026-05-18T01:43:35.791780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72ee9898e90f6a10a79d1d2129cfd24792035e0225daedc89e6a73b66d7e766

Aliases

arxiv: 1404.2720 · arxiv_version: 1404.2720v1 · doi: 10.48550/arxiv.1404.2720 · pith_short_12: Y4XOTCMOSD3K · pith_short_16: Y4XOTCMOSD3KCCTZ · pith_short_8: Y4XOTCMO

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/Y4XOTCMOSD3KCCTZ2HJBFHH5ER \
  | 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: c72ee9898e90f6a10a79d1d2129cfd24792035e0225daedc89e6a73b66d7e766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eda5f7832d9d899a5282ddde98a34b82cdab185cc379a2e21b4d3478b2640b2",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-04-10T07:48:25Z",
    "title_canon_sha256": "4875d452f330ce5933b91116dac9d324f971cc3994ace9aff8b95c230cfa7661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2720",
    "kind": "arxiv",
    "version": 1
  }
}