Pith Number

pith:GHIHGDW2

pith:2025:GHIHGDW2ZRAVPLGO34ZOLCHKLY

not attested not anchored not stored refs pending

The Nature of Phantom Dark Energy and its Relation to Time Crystals

Laura Mersini-Houghton

arxiv:2502.08894 v1 · 2025-02-13 · 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{GHIHGDW2ZRAVPLGO34ZOLCHKLY}

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	2026-07-05T11:59:10.766593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d0730edacc4157accedf32e588ea5e080fd484dd024d8d166e66ad79985fc6

Aliases

arxiv: 2502.08894 · arxiv_version: 2502.08894v1 · doi: 10.48550/arxiv.2502.08894 · pith_short_12: GHIHGDW2ZRAV · pith_short_16: GHIHGDW2ZRAVPLGO · pith_short_8: GHIHGDW2

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/GHIHGDW2ZRAVPLGO34ZOLCHKLY \
  | 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: 31d0730edacc4157accedf32e588ea5e080fd484dd024d8d166e66ad79985fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e667d16f2f7658ddd6be8067214960d85123f9ab05a54ee58103f78cd5c02ad",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-02-13T02:22:00Z",
    "title_canon_sha256": "514b46d59c9d7e1caffe67b7140e64fc47a510850748dc7fa972fb7960521e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08894",
    "kind": "arxiv",
    "version": 1
  }
}