Pith Number

pith:EGMCUPLB

pith:2014:EGMCUPLBD3HFUAWWFKY5G3YTZ4

not attested not anchored not stored refs pending

Steady-State Size Distributions for Collisional Populations: Analytical Solution with Size-Dependent Strength

David P. O'Brien, Richard Greenberg

arxiv:1407.3307 v1 · 2014-07-11 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGMCUPLBD3HFUAWWFKY5G3YTZ4}

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	2026-05-18T02:47:43.359216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21982a3d611ece5a02d62ab1d36f13cf0bdd8c5e37fe60065a01d3eed79d58db

Aliases

arxiv: 1407.3307 · arxiv_version: 1407.3307v1 · doi: 10.48550/arxiv.1407.3307 · pith_short_12: EGMCUPLBD3HF · pith_short_16: EGMCUPLBD3HFUAWW · pith_short_8: EGMCUPLB

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/EGMCUPLBD3HFUAWWFKY5G3YTZ4 \
  | 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: 21982a3d611ece5a02d62ab1d36f13cf0bdd8c5e37fe60065a01d3eed79d58db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5486006975530c086a0973f9742f922190e204bbc3913b112173734302b71b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2014-07-11T21:30:15Z",
    "title_canon_sha256": "130b6705d6c5da8cf9143fd7eeb524b4ad27e748f47524c8cbd8564b8d534159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3307",
    "kind": "arxiv",
    "version": 1
  }
}