Pith Number

pith:B4DV6IBJ

pith:2018:B4DV6IBJEXXIWKLXKYYI3F7WOF

not attested not anchored not stored refs pending

Toomre stability of disk galaxies in quasi-linear MOND

Hongsheng Zhao, Indranil Banik, Mordehai Milgrom

arxiv:1808.10545 v5 · 2018-08-30 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B4DV6IBJEXXIWKLXKYYI3F7WOF}

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	2026-05-17T23:55:55.360970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f075f202925ee8b297756308d97f6717357f7418d7451b7db8c9101f91fdf5b

Aliases

arxiv: 1808.10545 · arxiv_version: 1808.10545v5 · doi: 10.48550/arxiv.1808.10545 · pith_short_12: B4DV6IBJEXXI · pith_short_16: B4DV6IBJEXXIWKLX · pith_short_8: B4DV6IBJ

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/B4DV6IBJEXXIWKLXKYYI3F7WOF \
  | 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: 0f075f202925ee8b297756308d97f6717357f7418d7451b7db8c9101f91fdf5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d5eac1c4ad7f54a72d901fb43ad26984e65dea36766a3118b96838b70315d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-08-30T23:05:07Z",
    "title_canon_sha256": "e0d29fd7798f301b47b2b8899bdcf6ad3605f74e37252394d66a7d525453b7fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10545",
    "kind": "arxiv",
    "version": 5
  }
}