pith. sign in
Pith Number

pith:766QBBZR

pith:2012:766QBBZRC5JPVMNAIKSP2ZU4IZ
not attested not anchored not stored refs pending

Self-organization of ascending bubbles ensemble

E. V. Barmina, G. A. Shafeev, N. A. Kirichenko, P. G. Kuzmin

arxiv:1209.6292 v1 · 2012-09-26 · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{766QBBZRC5JPVMNAIKSP2ZU4IZ}

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 2026-05-18T03:44:34.717442Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ffbd0087311752fab1a042a4fd669c46462e195adc3fff7bae4133fcc09b8f11

Aliases

arxiv: 1209.6292 · arxiv_version: 1209.6292v1 · doi: 10.48550/arxiv.1209.6292 · pith_short_12: 766QBBZRC5JP · pith_short_16: 766QBBZRC5JPVMNA · pith_short_8: 766QBBZR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/766QBBZRC5JPVMNAIKSP2ZU4IZ \
  | 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: ffbd0087311752fab1a042a4fd669c46462e195adc3fff7bae4133fcc09b8f11
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6e4ce3e24e1140c310c7167868204b38cf44623341948ef5887588f43d892ee8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-09-26T11:01:12Z",
    "title_canon_sha256": "472bd8a88dc1a905cc2d706a237f422adf019cce96e2bd34895a19867e15e571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6292",
    "kind": "arxiv",
    "version": 1
  }
}