Pith Number

pith:HLKHWODS

pith:2016:HLKHWODSC2FT3LXXDVQZ2KAQWX

not attested not anchored not stored refs pending

The Effect of Modified Gravity on the Odds of the Bound Violations of the Turn-Around Radii

Baojiu Li (Durham Univ.), Jounghun Lee (Seoul Nat'l Univ.)

arxiv:1610.07268 v2 · 2016-10-24 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLKHWODSC2FT3LXXDVQZ2KAQWX}

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	2026-05-18T00:42:07.516933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ad47b3872168b3daef71d619d2810b5fc4b112133b7ebb8a72b5dc817d9e4fa

Aliases

arxiv: 1610.07268 · arxiv_version: 1610.07268v2 · doi: 10.48550/arxiv.1610.07268 · pith_short_12: HLKHWODSC2FT · pith_short_16: HLKHWODSC2FT3LXX · pith_short_8: HLKHWODS

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/HLKHWODSC2FT3LXXDVQZ2KAQWX \
  | 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: 3ad47b3872168b3daef71d619d2810b5fc4b112133b7ebb8a72b5dc817d9e4fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa112644092f71e4b780203156363c02618c6cdaad99c461ec0c0f56bcacf62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-10-24T02:51:32Z",
    "title_canon_sha256": "3644da9694b5690e986257d344ddcc23841698ff5247ac1e41fa488721588297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07268",
    "kind": "arxiv",
    "version": 2
  }
}