Pith Number

pith:Y4RMNLWG

pith:2016:Y4RMNLWGMPPFRWU2CEJ63VHTKB

not attested not anchored not stored refs pending

Transport of congestion in two-phase compressible/incompressible flows

Ewelina Zatorska, Pierre Degond, Piotr Minakowski

arxiv:1612.08411 v2 · 2016-12-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4RMNLWGMPPFRWU2CEJ63VHTKB}

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	2026-05-18T00:22:12.093665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c722c6aec663de58da9a1113edd4f3505302e2a41c913e4d62ca4e5b02d7ca11

Aliases

arxiv: 1612.08411 · arxiv_version: 1612.08411v2 · doi: 10.48550/arxiv.1612.08411 · pith_short_12: Y4RMNLWGMPPF · pith_short_16: Y4RMNLWGMPPFRWU2 · pith_short_8: Y4RMNLWG

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/Y4RMNLWGMPPFRWU2CEJ63VHTKB \
  | 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: c722c6aec663de58da9a1113edd4f3505302e2a41c913e4d62ca4e5b02d7ca11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d42d8d12d1b64bf3fd04db7d6a92b72e63a619abaf09edbe79a048d74da866d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-26T16:23:14Z",
    "title_canon_sha256": "5583adb49d924b241f6e964f880abb0d29566308b008b26f4fe446cfa090d3d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08411",
    "kind": "arxiv",
    "version": 2
  }
}