Pith Number

pith:LIHYJJVF

pith:2012:LIHYJJVFL5JIJOTS7TLYJA2FXN

not attested not anchored not stored refs pending

Singularity phenomena in viable f(R) gravity

Chao-Qiang Geng, Chung-Chi Lee, Louis Yang

arxiv:1201.4546 v3 · 2012-01-22 · astro-ph.CO · 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{LIHYJJVFL5JIJOTS7TLYJA2FXN}

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	2026-05-18T03:46:32.398506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0f84a6a55f5284ba72fcd7848345bb627a2acb9f8c15617a441d7e99bfb6c4

Aliases

arxiv: 1201.4546 · arxiv_version: 1201.4546v3 · doi: 10.48550/arxiv.1201.4546 · pith_short_12: LIHYJJVFL5JI · pith_short_16: LIHYJJVFL5JIJOTS · pith_short_8: LIHYJJVF

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/LIHYJJVFL5JIJOTS7TLYJA2FXN \
  | 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: 5a0f84a6a55f5284ba72fcd7848345bb627a2acb9f8c15617a441d7e99bfb6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d459c658c6d8e43af697865c7a4db1be5af078e61811ef4db2536a3003d03c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-22T10:01:34Z",
    "title_canon_sha256": "2852ca7689a671e3980e4f20a9600c1c864c4cb6f814a350036b5d2b96d2599c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4546",
    "kind": "arxiv",
    "version": 3
  }
}