Pith Number

pith:7SJXJ5AT

pith:2011:7SJXJ5ATH7GMHFZ4LXT3TA42TY

not attested not anchored not stored refs pending

Counter-rotating stellar discs around a massive black hole: self-consistent, time-dependent dynamics

Jihad R. Touma, S. Sridhar

arxiv:1110.4588 v2 · 2011-10-20 · 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{7SJXJ5ATH7GMHFZ4LXT3TA42TY}

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	2026-05-18T02:00:07.772718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9374f4133fccc3973c5de7b9839a9e0358284d73814c8b39237bf79de51b8d

Aliases

arxiv: 1110.4588 · arxiv_version: 1110.4588v2 · doi: 10.48550/arxiv.1110.4588 · pith_short_12: 7SJXJ5ATH7GM · pith_short_16: 7SJXJ5ATH7GMHFZ4 · pith_short_8: 7SJXJ5AT

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/7SJXJ5ATH7GMHFZ4LXT3TA42TY \
  | 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: fc9374f4133fccc3973c5de7b9839a9e0358284d73814c8b39237bf79de51b8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41387f4239678ae54cc848748c8eb6bed422d22773ce512a5f9efc9a3afe2e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2011-10-20T17:29:39Z",
    "title_canon_sha256": "4381988eb94925d2cf3bc48469bcd2f9377d2c043ab3cd015ed35e56adf54d31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4588",
    "kind": "arxiv",
    "version": 2
  }
}