Pith Number

pith:PKZOTD2G

pith:2021:PKZOTD2GJTFYBNCLJAI4WUCWGF

not attested not anchored not stored refs pending

Experimental study of clusters in dense granular gas and implications for the particle stopping time in protoplanetary disks

Felix Jungmann, Gerhard Wurm, Grzegorz Musiolik, Jens Teiser, Jonathan E. Kollmer, Maximilian Kruss, Niclas Schneider, Tobias Steinpilz, Tunahan Demirci

arxiv:2103.03609 v1 · 2021-03-05 · astro-ph.IM · 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{PKZOTD2GJTFYBNCLJAI4WUCWGF}

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	2026-07-05T02:20:37.637600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab2e98f464ccb80b44b4811cb5056316254e5c7c2477b1f503fbd32f851fe18

Aliases

arxiv: 2103.03609 · arxiv_version: 2103.03609v1 · doi: 10.48550/arxiv.2103.03609 · pith_short_12: PKZOTD2GJTFY · pith_short_16: PKZOTD2GJTFYBNCL · pith_short_8: PKZOTD2G

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/PKZOTD2GJTFYBNCLJAI4WUCWGF \
  | 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: 7ab2e98f464ccb80b44b4811cb5056316254e5c7c2477b1f503fbd32f851fe18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac8328635c79332d60b0e66b7e4cd9cbd38c70b71a4e7dea863c803b5cc9f89",
    "cross_cats_sorted": [
      "astro-ph.EP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2021-03-05T11:25:05Z",
    "title_canon_sha256": "7f3074d212415cc743e426d11da00d315c84907f534e4972c625c3fb0242c0b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.03609",
    "kind": "arxiv",
    "version": 1
  }
}