Pith Number

pith:TAK7RILL

pith:2012:TAK7RILLKLGDU2KYHUGVXNJNVI

not attested not anchored not stored refs pending

Future singularity avoidance in phantom dark energy models

Jaume de Haro

arxiv:1204.5604 v3 · 2012-04-25 · 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{TAK7RILLKLGDU2KYHUGVXNJNVI}

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.

Cited by

1 paper in Pith

Bouncing Cosmology in Interacting Scalar-Torsion Gravity

Receipt and verification

First computed	2026-05-18T02:43:37.227923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9815f8a16b52cc3a69583d0d5bb52daa2a12eed6cdab797a135759a129301ab5

Aliases

arxiv: 1204.5604 · arxiv_version: 1204.5604v3 · doi: 10.48550/arxiv.1204.5604 · pith_short_12: TAK7RILLKLGD · pith_short_16: TAK7RILLKLGDU2KY · pith_short_8: TAK7RILL

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/TAK7RILLKLGDU2KYHUGVXNJNVI \
  | 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: 9815f8a16b52cc3a69583d0d5bb52daa2a12eed6cdab797a135759a129301ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d77b75349acb78b63464f5222a682028720f41ef46f5da40fbf0677b31b8d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-25T10:07:28Z",
    "title_canon_sha256": "ec16cb09c8eafc673590b70b803fb3b3c45a2d58bc2f8b9302c2cf58533bb32f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5604",
    "kind": "arxiv",
    "version": 3
  }
}