Pith Number

pith:PXCYKJFP

pith:2026:PXCYKJFP2LP4W7J3LBKFA5YOTF

not attested not anchored not stored refs pending

Scaling solutions in three-form cosmology

Bruno J. Barros, Nelson J. Nunes, Tiago Barreiro, Vitor da Fonseca

arxiv:2602.15498 v2 · 2026-02-17 · astro-ph.CO · 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{PXCYKJFP2LP4W7J3LBKFA5YOTF}

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	2026-06-04T01:09:47.355978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc58524afd2dfcb7d3b585450770e997eb1616748cb495c04ec8664c67b57f3

Aliases

arxiv: 2602.15498 · arxiv_version: 2602.15498v2 · doi: 10.48550/arxiv.2602.15498 · pith_short_12: PXCYKJFP2LP4 · pith_short_16: PXCYKJFP2LP4W7J3 · pith_short_8: PXCYKJFP

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/PXCYKJFP2LP4W7J3LBKFA5YOTF \
  | 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: 7dc58524afd2dfcb7d3b585450770e997eb1616748cb495c04ec8664c67b57f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d37286d3e2f67b43c28a9ab41a3ae2457d058f5ed896c8dd02e3bcdc24c9ee",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-02-17T11:08:15Z",
    "title_canon_sha256": "ce07851b402ab9681de4e5ff2a223b5fab68699bc3650368c5311b2d3c863475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.15498",
    "kind": "arxiv",
    "version": 2
  }
}