Pith Number

pith:3XNGMHKQ

pith:2013:3XNGMHKQJ2WJQFTKSGX27UABMO

not attested not anchored not stored refs pending

Growing bubbles in a slightly supersaturated liquid solution

Andrea Prosperetti, Chao Sun, Christian Hummelink, Detlef Lohse, Devaraj van der Meer, Gert-Wim Bruggert, Oscar R. Enr\'iquez

arxiv:1305.5733 v1 · 2013-05-24 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XNGMHKQJ2WJQFTKSGX27UABMO}

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.

Receipt and verification

First computed	2026-05-18T01:49:46.898958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddda661d504eac98166a91afafd00163b8a4504fcab0c6c634334ed8d12e3bd1

Aliases

arxiv: 1305.5733 · arxiv_version: 1305.5733v1 · doi: 10.48550/arxiv.1305.5733 · pith_short_12: 3XNGMHKQJ2WJ · pith_short_16: 3XNGMHKQJ2WJQFTK · pith_short_8: 3XNGMHKQ

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/3XNGMHKQJ2WJQFTKSGX27UABMO \
  | 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: ddda661d504eac98166a91afafd00163b8a4504fcab0c6c634334ed8d12e3bd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376d3a50f7c2ff5c1894db8b64b8149cbdddc2e08379e5c190a706065c60464e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-05-24T13:49:20Z",
    "title_canon_sha256": "9f26400d7544225a10e6af76599fbdad66f368e3e5a88ead58fe261a875555b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5733",
    "kind": "arxiv",
    "version": 1
  }
}