Pith Number

pith:WMY4M2ZM

pith:2010:WMY4M2ZM5J6LH64IF5XKAS6GXM

not attested not anchored not stored refs pending

Bouncing Universe and phantom crossing in Modified Gravity and its reconstruction

F. Milani, H. Farajollahi

arxiv:1004.3512 v2 · 2010-04-20 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMY4M2ZM5J6LH64IF5XKAS6GXM}

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

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T04:20:23.419331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b331c66b2cea7cb3fb882f6ea04bc6bb336f314d11b57b9a0fce4b5515a7b540

Aliases

arxiv: 1004.3512 · arxiv_version: 1004.3512v2 · doi: 10.48550/arxiv.1004.3512 · pith_short_12: WMY4M2ZM5J6L · pith_short_16: WMY4M2ZM5J6LH64I · pith_short_8: WMY4M2ZM

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/WMY4M2ZM5J6LH64IF5XKAS6GXM \
  | 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: b331c66b2cea7cb3fb882f6ea04bc6bb336f314d11b57b9a0fce4b5515a7b540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee04d0e892c7eb18c261ba0a6c757c0929e9c9e8d487a69cba105a2a5874b950",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-04-20T17:37:46Z",
    "title_canon_sha256": "5376038b7e19ba0095b79e50d9e5eeec90b913765566ddfbfa396d11c0b54cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3512",
    "kind": "arxiv",
    "version": 2
  }
}