Pith Number

pith:BTCG5EN7

pith:2021:BTCG5EN7LY2PKGGIQQCWJXRJH3

not attested not anchored not stored refs pending

Equatorial orbits and imaging of hairy cubic Galileon black holes

Eric Gourgoulhon, Frederic H. Vincent, Karim Van Aelst

arxiv:2103.01827 v3 · 2021-03-02 · 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{BTCG5EN7LY2PKGGIQQCWJXRJH3}

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	2026-07-05T03:51:42.516949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc46e91bf5e34f518c8840564de293ef46202990c18fff1dae94abb555a104e

Aliases

arxiv: 2103.01827 · arxiv_version: 2103.01827v3 · doi: 10.48550/arxiv.2103.01827 · pith_short_12: BTCG5EN7LY2P · pith_short_16: BTCG5EN7LY2PKGGI · pith_short_8: BTCG5EN7

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/BTCG5EN7LY2PKGGIQQCWJXRJH3 \
  | 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: 0cc46e91bf5e34f518c8840564de293ef46202990c18fff1dae94abb555a104e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46508762089472ef4556f9d7456dabbf389eca3702ed25f4b7989005863bd4f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-02T16:08:43Z",
    "title_canon_sha256": "f310d5dce555f7c4ad18d378fc737ad02c9cf102d1023ae035a9b7a2d0da3897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01827",
    "kind": "arxiv",
    "version": 3
  }
}