Pith Number

pith:7CCE6ZKU

pith:2011:7CCE6ZKUOH5Q5FI3GD4OG6TCBO

not attested not anchored not stored refs pending

Turbulent Bubbly Channel Flow: Role of Bubble Deformability

Gretar Tryggvason, Jiacai Lu, Sadegh Dabiri

arxiv:1110.3402 v1 · 2011-10-15 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CCE6ZKUOH5Q5FI3GD4OG6TCBO}

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	2026-05-18T04:10:55.870614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8844f655471fb0e951b30f8e37a620b8961acd57a0f892390a5e969d17be967

Aliases

arxiv: 1110.3402 · arxiv_version: 1110.3402v1 · doi: 10.48550/arxiv.1110.3402 · pith_short_12: 7CCE6ZKUOH5Q · pith_short_16: 7CCE6ZKUOH5Q5FI3 · pith_short_8: 7CCE6ZKU

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/7CCE6ZKUOH5Q5FI3GD4OG6TCBO \
  | 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: f8844f655471fb0e951b30f8e37a620b8961acd57a0f892390a5e969d17be967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82a460684d92b526c5767c406fcc98273d8ae22c455e390d16543f572f5c0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-10-15T11:30:37Z",
    "title_canon_sha256": "0b52fcf617ddcd606f61270357daa18617f4a1df4239c3f552d5bc532ecd31cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3402",
    "kind": "arxiv",
    "version": 1
  }
}