Pith Number

pith:XVZNTO2U

pith:2011:XVZNTO2UUMUMIPP4QS6NCZMWMX

not attested not anchored not stored refs pending

Density waves in debris discs and galactic nuclei

Mir Abbas Jalali, Scott Tremaine

arxiv:1110.4551 v2 · 2011-10-20 · astro-ph.EP · 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{XVZNTO2UUMUMIPP4QS6NCZMWMX}

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	2026-05-18T02:00:07.848686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd72d9bb54a328c43dfc84bcd1659665e999d58616377d0f036a771e0dd97d4f

Aliases

arxiv: 1110.4551 · arxiv_version: 1110.4551v2 · doi: 10.48550/arxiv.1110.4551 · pith_short_12: XVZNTO2UUMUM · pith_short_16: XVZNTO2UUMUMIPP4 · pith_short_8: XVZNTO2U

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/XVZNTO2UUMUMIPP4QS6NCZMWMX \
  | 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: bd72d9bb54a328c43dfc84bcd1659665e999d58616377d0f036a771e0dd97d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc6f45fa34a8784f5b9c17581673dc690e7197aff7c1803c3017a105b330d9f",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2011-10-20T15:24:27Z",
    "title_canon_sha256": "29e7f646e64d0c2b377559abc0e0b99afdcc6de654670a995b3cfff7750befef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4551",
    "kind": "arxiv",
    "version": 2
  }
}