Pith Number

pith:3VU6STIL

pith:2016:3VU6STILSWAUBO6GSLQJFG4Z2B

not attested not anchored not stored refs pending

Defocusing of Null Rays in Infinite Derivative Gravity

Aindri\'u Conroy, Alexey S. Koshelev, Anupam Mazumdar

arxiv:1605.02080 v2 · 2016-05-06 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VU6STILSWAUBO6GSLQJFG4Z2B}

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	2026-05-18T00:52:39.742512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd69e94d0b958140bbc692e0929b99d06873ff04f12c655959186b5936d6ab81

Aliases

arxiv: 1605.02080 · arxiv_version: 1605.02080v2 · doi: 10.48550/arxiv.1605.02080 · pith_short_12: 3VU6STILSWAU · pith_short_16: 3VU6STILSWAUBO6G · pith_short_8: 3VU6STIL

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/3VU6STILSWAUBO6GSLQJFG4Z2B \
  | 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: dd69e94d0b958140bbc692e0929b99d06873ff04f12c655959186b5936d6ab81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74fbf7e15d8cca791f11fd78b8d1b5ca71786f90fc25a99a4427f8e8b7160e92",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-05-06T20:00:37Z",
    "title_canon_sha256": "d19d5b28ad3e2e4eabb58158c6e2df5367596bc7a6f5ad9d112942e1e080cce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02080",
    "kind": "arxiv",
    "version": 2
  }
}