Pith Number

pith:AZY6GWB2

pith:2015:AZY6GWB2RPMFZPV3ZLG7JWS3YZ

not attested not anchored not stored refs pending

Spray formation: a numerical closeup

Daniel Fuster, Gretar Tryggvason, Stephane Zaleski, Yue Ling

arxiv:1511.04234 v2 · 2015-11-13 · 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{AZY6GWB2RPMFZPV3ZLG7JWS3YZ}

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	2026-05-18T00:51:52.151736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0671e3583a8bd85cbebbcacdf4da5bc672d665554c86c68bdce23017056c14b8

Aliases

arxiv: 1511.04234 · arxiv_version: 1511.04234v2 · doi: 10.48550/arxiv.1511.04234 · pith_short_12: AZY6GWB2RPMF · pith_short_16: AZY6GWB2RPMFZPV3 · pith_short_8: AZY6GWB2

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/AZY6GWB2RPMFZPV3ZLG7JWS3YZ \
  | 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: 0671e3583a8bd85cbebbcacdf4da5bc672d665554c86c68bdce23017056c14b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "123dab8f9f10ad5b8014e1e043f7e2dd860e0f4b6e0d61b0ec2e82d063ffc82a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-11-13T11:05:36Z",
    "title_canon_sha256": "d071239d14e70b7766dfff180cb317fbf3b69b5b138c0d5a04808dbb97c5751b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04234",
    "kind": "arxiv",
    "version": 2
  }
}