Pith Number

pith:5VL36OP3

pith:2012:5VL36OP32JXAECI622RJ7HHYJ7

not attested not anchored not stored refs pending

Parameterised free functions and saddle stresses in modified gravity

Ali Mozaffari

arxiv:1212.3905 v2 · 2012-12-17 · 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{5VL36OP32JXAECI622RJ7HHYJ7}

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	2026-05-18T02:52:48.575630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed57bf39fbd26e02091ed6a29f9cf84fd313f0a57544c8b800e3008d89da78de

Aliases

arxiv: 1212.3905 · arxiv_version: 1212.3905v2 · doi: 10.48550/arxiv.1212.3905 · pith_short_12: 5VL36OP32JXA · pith_short_16: 5VL36OP32JXAECI6 · pith_short_8: 5VL36OP3

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/5VL36OP32JXAECI622RJ7HHYJ7 \
  | 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: ed57bf39fbd26e02091ed6a29f9cf84fd313f0a57544c8b800e3008d89da78de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61a58f2108024cbe848ea6213aff5f18576f00346e66d3ed47dcf2b13432eed1",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-17T07:13:29Z",
    "title_canon_sha256": "6503240dd268da2572b45c6a4c70844c01c4927013a0d834f493abfe54415253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3905",
    "kind": "arxiv",
    "version": 2
  }
}