Pith Number

pith:YT3RVUEZ

pith:2011:YT3RVUEZ7UVAEFXJARV2KRXRZ6

not attested not anchored not stored refs pending

Surface tension of multi-phase flow with multiple junctions governed by the variational principle

Katsuhiko Shinjo, Kota Nakano, Shigeki Matsutani

arxiv:1107.2451 v3 · 2011-07-13 · cs.NA · math-ph · math.DG · math.MP · math.NA · physics.comp-ph · 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{YT3RVUEZ7UVAEFXJARV2KRXRZ6}

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	2026-05-18T04:16:22.268224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f71ad099fd2a0216e9046ba546f1cfa32eacfdd18ca068bc528266501c43de

Aliases

arxiv: 1107.2451 · arxiv_version: 1107.2451v3 · doi: 10.48550/arxiv.1107.2451 · pith_short_12: YT3RVUEZ7UVA · pith_short_16: YT3RVUEZ7UVAEFXJ · pith_short_8: YT3RVUEZ

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/YT3RVUEZ7UVAEFXJARV2KRXRZ6 \
  | 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: c4f71ad099fd2a0216e9046ba546f1cfa32eacfdd18ca068bc528266501c43de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf23379796852182bf9982029c72fd077f472662a5b577f9a1a697e3646f515",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.NA",
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2011-07-13T02:11:11Z",
    "title_canon_sha256": "68d87eeed27bd65f440fab250069703c647a6e79d82642c7eaef39b617af1f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2451",
    "kind": "arxiv",
    "version": 3
  }
}