Pith Number

pith:NOBXDLQ5

pith:2010:NOBXDLQ54EOAJEXAFWZKHPHAAP

not attested not anchored not stored refs pending

Extending the domain of validity of the Lagrangian approximation

David F. Chernoff, Sharvari Nadkarni-Ghosh

arxiv:1005.1217 v2 · 2010-05-07 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOBXDLQ54EOAJEXAFWZKHPHAAP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Post-collapse Lagrangian perturbation theory in three dimensions

Receipt and verification

First computed	2026-05-18T03:40:03.701267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b8371ae1de11c0492e02db2a3bce003df7986344400f4e7b906775848ec23da

Aliases

arxiv: 1005.1217 · arxiv_version: 1005.1217v2 · doi: 10.48550/arxiv.1005.1217 · pith_short_12: NOBXDLQ54EOA · pith_short_16: NOBXDLQ54EOAJEXA · pith_short_8: NOBXDLQ5

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/NOBXDLQ54EOAJEXAFWZKHPHAAP \
  | 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: 6b8371ae1de11c0492e02db2a3bce003df7986344400f4e7b906775848ec23da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "764c56ff3615bed0231ad311c65bf155dc6f17c4d2f9050c47adddbbe6814343",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-07T14:25:30Z",
    "title_canon_sha256": "549ab10a6c3688d509a201f99082a05f15c52113ea2d6c053b3ee74cc16a6ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1217",
    "kind": "arxiv",
    "version": 2
  }
}