Pith Number

pith:2XDO7X53

pith:2013:2XDO7X53PRKOLRLDVZLX7R2D3K

not attested not anchored not stored refs pending

Emergence of spaces and the dynamic equations of FRW universes in the $f(R)$ theory and deformed Ho\v{r}ava-Lifshitz theory

Fei-Quan Tu, Yi-Xin Chen

arxiv:1303.5813 v2 · 2013-03-23 · 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{2XDO7X53PRKOLRLDVZLX7R2D3K}

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	2026-05-18T01:50:59.329476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c6efdfbb7c54e5c563ae577fc743da912fc9e7bdd304fb082b9a62c9690494

Aliases

arxiv: 1303.5813 · arxiv_version: 1303.5813v2 · doi: 10.48550/arxiv.1303.5813 · pith_short_12: 2XDO7X53PRKO · pith_short_16: 2XDO7X53PRKOLRLD · pith_short_8: 2XDO7X53

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/2XDO7X53PRKOLRLDVZLX7R2D3K \
  | 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: d5c6efdfbb7c54e5c563ae577fc743da912fc9e7bdd304fb082b9a62c9690494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540f687ac09b1c01370759610aa659ff0dc5111454d45fb554fb0a452ed3cb59",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-03-23T02:07:52Z",
    "title_canon_sha256": "2245d21d0c3b1c27904edb61ecceb5b2091277b7852463afb659fd5756728a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5813",
    "kind": "arxiv",
    "version": 2
  }
}