Pith Number

pith:ZN4B6ITV

pith:2010:ZN4B6ITVIOYSVJOXRPUNUBZVZD

not attested not anchored not stored refs pending

Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories

Baojiu Li, Hongsheng Zhao, Olivier Bienaym\'e

arxiv:1007.1278 v2 · 2010-07-08 · astro-ph.GA · 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{ZN4B6ITVIOYSVJOXRPUNUBZVZD}

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	2026-05-18T04:36:33.495970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb781f227543b12aa5d78be8da0735c8d79bb90b908d913edc0f973bb412061c

Aliases

arxiv: 1007.1278 · arxiv_version: 1007.1278v2 · doi: 10.48550/arxiv.1007.1278 · pith_short_12: ZN4B6ITVIOYS · pith_short_16: ZN4B6ITVIOYSVJOX · pith_short_8: ZN4B6ITV

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/ZN4B6ITVIOYSVJOXRPUNUBZVZD \
  | 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: cb781f227543b12aa5d78be8da0735c8d79bb90b908d913edc0f973bb412061c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0f0a193ca4e63b3c5dbcbcc4e0a14fd85d3e797fe6536265e89d3ae0a895ab",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2010-07-08T02:03:59Z",
    "title_canon_sha256": "59cbbbec391f37fa9caffb8abdc61e7ccb0672313c37a325502ec88b3fa61c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1278",
    "kind": "arxiv",
    "version": 2
  }
}