Pith Number

pith:K2M4CKH6

pith:2018:K2M4CKH6NOY77GIXGV7SKM7LB6

not attested not anchored not stored refs pending

Shadows of Black Holes in Vector-Tensor Galileons Modified Gravity

Galin Gyulchev, Stoytcho Yazadjiev, Tsvetan Vetsov

arxiv:1801.04592 v2 · 2018-01-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2M4CKH6NOY77GIXGV7SKM7LB6}

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	2026-05-18T00:25:11.166448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5699c128fe6bb1ff9917357f2533eb0f88295e3022ae4e4ff02b2bcaad52d57a

Aliases

arxiv: 1801.04592 · arxiv_version: 1801.04592v2 · doi: 10.48550/arxiv.1801.04592 · pith_short_12: K2M4CKH6NOY7 · pith_short_16: K2M4CKH6NOY77GIX · pith_short_8: K2M4CKH6

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/K2M4CKH6NOY77GIXGV7SKM7LB6 \
  | 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: 5699c128fe6bb1ff9917357f2533eb0f88295e3022ae4e4ff02b2bcaad52d57a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5cd9bf9d994d3b880eb58a4128f0e253bb4feb045660d2b2fb68c4e048d8b05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-14T18:00:45Z",
    "title_canon_sha256": "880fae18ab3471ddb24fb92eb4b129a798dc5436a6279adf53f8b48f5a6c0b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04592",
    "kind": "arxiv",
    "version": 2
  }
}