Pith Number

pith:HTD5OTZ6

pith:2026:HTD5OTZ6RDQWRJDK7HMUTV7SFH

not attested not anchored not stored refs pending

Phantom-Divide Crossing in Exponentially Coupled Quintessence and the Role of Neutrino-Mass Freedom

Hongwei Yu, Jincheng Wang, Puxun Wu

arxiv:2606.22023 v1 · 2026-06-20 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTD5OTZ6RDQWRJDK7HMUTV7SFH}

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	2026-06-23T02:13:05.804447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc7d74f3e88e168a46af9d949d7f229c5f11d88aafeb5fe7b12a551adf3fae7

Aliases

arxiv: 2606.22023 · arxiv_version: 2606.22023v1 · doi: 10.48550/arxiv.2606.22023 · pith_short_12: HTD5OTZ6RDQW · pith_short_16: HTD5OTZ6RDQWRJDK · pith_short_8: HTD5OTZ6

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/HTD5OTZ6RDQWRJDK7HMUTV7SFH \
  | 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: 3cc7d74f3e88e168a46af9d949d7f229c5f11d88aafeb5fe7b12a551adf3fae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55adc085abb979874ca4bbbba10d90485fe70831d0ea71437dfa3c7eb14697d6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-20T12:53:09Z",
    "title_canon_sha256": "aba608b5576939ba88afa18cd8cc9f2de7231b968756b609fb96ffd7ded38dd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22023",
    "kind": "arxiv",
    "version": 1
  }
}