Pith Number

pith:3PQ2GDLT

pith:2016:3PQ2GDLT5UNZPTJ6P32QFO4GKS

not attested not anchored not stored refs pending

Formation of caustics in k-essence and Horndeski theory

Eugeny Babichev

arxiv:1602.00735 v4 · 2016-02-01 · hep-th · 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{3PQ2GDLT5UNZPTJ6P32QFO4GKS}

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

2 papers in Pith

Dynamical system analysis of the cosmological phases in Palatini $k$-essence gravity

Hard to shock DBI: wave propagation on planar domain walls

Receipt and verification

First computed	2026-05-18T01:16:20.036956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe1a30d73ed1b97cd3e7ef502bb865487319d78fb90f9daa5b76f2220c8d371

Aliases

arxiv: 1602.00735 · arxiv_version: 1602.00735v4 · doi: 10.48550/arxiv.1602.00735 · pith_short_12: 3PQ2GDLT5UNZ · pith_short_16: 3PQ2GDLT5UNZPTJ6 · pith_short_8: 3PQ2GDLT

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/3PQ2GDLT5UNZPTJ6P32QFO4GKS \
  | 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: dbe1a30d73ed1b97cd3e7ef502bb865487319d78fb90f9daa5b76f2220c8d371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9b60b5f52a9d9ba2119380c6f86da46230ab41116c8c4eb9d76058f32adb01",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-01T22:49:17Z",
    "title_canon_sha256": "1f84dec77761ccf7954a805dd785ab69f409dad606f597343d7b82bdae0de847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00735",
    "kind": "arxiv",
    "version": 4
  }
}