Pith Number

pith:MD7TJR25

pith:2016:MD7TJR25FJBLYF5AZUGRCCJZXP

not attested not anchored not stored refs pending

High order moment model for polydisperse evaporating sprays towards interfacial geometry

FR3487, FR3487), Fr\'ed\'erique Laurent (EM2C, IFPEN), Marc Massot (EM2C, Mohamed Essadki (EM2C, Stephane De Chaisemartin (IFPEN)

arxiv:1608.07148 v2 · 2016-08-25 · math.NA · math.AP · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MD7TJR25FJBLYF5AZUGRCCJZXP}

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	2026-05-17T23:48:12.459712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ff34c75d2a42bc17a0cd0d110939bbf18e236b8c4becc020ab81e2db82bc99

Aliases

arxiv: 1608.07148 · arxiv_version: 1608.07148v2 · doi: 10.48550/arxiv.1608.07148 · pith_short_12: MD7TJR25FJBL · pith_short_16: MD7TJR25FJBLYF5A · pith_short_8: MD7TJR25

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/MD7TJR25FJBLYF5AZUGRCCJZXP \
  | 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: 60ff34c75d2a42bc17a0cd0d110939bbf18e236b8c4becc020ab81e2db82bc99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7025574281313e2a3987b7d92d27632199e449fe1eb1a7b4f0f8738a757e96df",
    "cross_cats_sorted": [
      "math.AP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-25T13:52:50Z",
    "title_canon_sha256": "4447fe6079ce65f88ce226a103ed040d32266d75c2e73fa5810301df73ada612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07148",
    "kind": "arxiv",
    "version": 2
  }
}