Pith Number

pith:FAH37F4J

pith:2021:FAH37F4JLQQNJSO25I4ING5XI2

not attested not anchored not stored refs pending

Cosmological constraints of interacting phantom dark energy models

Ahmed Errahmani, Amine Bouali, Imanol Albarran, Mariam Bouhmadi-Lopez, Taoufik Ouali

arxiv:2103.13432 v2 · 2021-03-24 · 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{FAH37F4JLQQNJSO25I4ING5XI2}

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	2026-07-05T03:29:00.237663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280fbf97895c20d4c9daea38869bb746983309ecfff578b42f3fa2bf0827d8f9

Aliases

arxiv: 2103.13432 · arxiv_version: 2103.13432v2 · doi: 10.48550/arxiv.2103.13432 · pith_short_12: FAH37F4JLQQN · pith_short_16: FAH37F4JLQQNJSO2 · pith_short_8: FAH37F4J

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/FAH37F4JLQQNJSO25I4ING5XI2 \
  | 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: 280fbf97895c20d4c9daea38869bb746983309ecfff578b42f3fa2bf0827d8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af34fb2f2a742628f7528beb755304152fed75c3f211054cf51a15071684432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-03-24T18:23:27Z",
    "title_canon_sha256": "2010e4e241688267dd4a27dd3403cda0b8d6325d002f408565475d94019d439d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.13432",
    "kind": "arxiv",
    "version": 2
  }
}