Pith Number

pith:Q2CXINDS

pith:2026:Q2CXINDSWW5RFHAGCLPIUEODDX

not attested not anchored not stored refs pending

Natural Phantom Dark Energy from a $\mathbb{Z}_N$--Axion

Admir Greljo, C\'edric Delaunay

arxiv:2607.06774 v1 · 2026-07-07 · hep-ph · 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{Q2CXINDSWW5RFHAGCLPIUEODDX}

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	2026-07-09T00:19:26.149530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8685743472b5bb129c0612de8a11c31dde7ca9e0d8918d90a9471ce8910eae0e

Aliases

arxiv: 2607.06774 · arxiv_version: 2607.06774v1 · doi: 10.48550/arxiv.2607.06774 · pith_short_12: Q2CXINDSWW5R · pith_short_16: Q2CXINDSWW5RFHAG · pith_short_8: Q2CXINDS

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/Q2CXINDSWW5RFHAGCLPIUEODDX \
  | 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: 8685743472b5bb129c0612de8a11c31dde7ca9e0d8918d90a9471ce8910eae0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e67fdea504fd0531950103d84c35e2526e043982222212531916e8a05f2e61fb",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-07T20:11:01Z",
    "title_canon_sha256": "ab11de5f8997402e404699ead06adb3291e95cd03fc9d398bb63c7820a7c84df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06774",
    "kind": "arxiv",
    "version": 1
  }
}