Pith Number

pith:APL24YZP

pith:2016:APL24YZPHXHH4XTUB7DIKCCQQJ

not attested not anchored not stored refs pending

Analytical solutions for problems of bubble dynamics

Dmitry I. Sinelshchikov, Nikolai A. Kudryashov

arxiv:1608.00811 v1 · 2016-08-02 · nlin.SI · math.CA · 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{APL24YZPHXHH4XTUB7DIKCCQQJ}

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	2026-05-18T01:10:00.908659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d7ae632f3dce7e5e740fc6850850825abcd96ac369c28348e49e1ba83558fd

Aliases

arxiv: 1608.00811 · arxiv_version: 1608.00811v1 · doi: 10.48550/arxiv.1608.00811 · pith_short_12: APL24YZPHXHH · pith_short_16: APL24YZPHXHH4XTU · pith_short_8: APL24YZP

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/APL24YZPHXHH4XTUB7DIKCCQQJ \
  | 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: 03d7ae632f3dce7e5e740fc6850850825abcd96ac369c28348e49e1ba83558fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d4c5a24d0d85d456910cdb19eef0970b6eecbd8d7a495d269d336348d3e408",
    "cross_cats_sorted": [
      "math.CA",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-08-02T13:24:00Z",
    "title_canon_sha256": "454bf41a0a0bb8383f732c0c6319bc26a3d1395c31bc0f17e2224dbd0c2d9139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00811",
    "kind": "arxiv",
    "version": 1
  }
}