Pith Number

pith:GBHNOSN2

pith:2026:GBHNOSN2PVNV3X7QZARRPQHQPS

not attested not anchored not stored refs pending

Constraints on Horndeski Gravity with Phantom Crossing

James Hallam, Krishna Naidoo, Sergi Sirera, Tessa Baker

arxiv:2606.20794 v1 · 2026-06-18 · 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{GBHNOSN2PVNV3X7QZARRPQHQPS}

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

Quintom Model Perturbations

Receipt and verification

First computed	2026-06-23T00:11:57.079530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304ed749ba7d5b5ddff0c82317c0f07cbd2554fc90c5202bc79c72574309eb94

Aliases

arxiv: 2606.20794 · arxiv_version: 2606.20794v1 · doi: 10.48550/arxiv.2606.20794 · pith_short_12: GBHNOSN2PVNV · pith_short_16: GBHNOSN2PVNV3X7Q · pith_short_8: GBHNOSN2

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/GBHNOSN2PVNV3X7QZARRPQHQPS \
  | 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: 304ed749ba7d5b5ddff0c82317c0f07cbd2554fc90c5202bc79c72574309eb94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad85b5d5445c6611a7f3797f04d86eae8f5998477d27bebae401c4c9fd955a0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-18T18:00:01Z",
    "title_canon_sha256": "e2f674bc1b3dfb6a9ba8fdfd7a12e361f77dab49a7f3524637ce5073991a6336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20794",
    "kind": "arxiv",
    "version": 1
  }
}