Pith Number

pith:DXCZQ6Z3

pith:2012:DXCZQ6Z3BJAYBYDBI7BG4IB4VS

not attested not anchored not stored refs pending

Incompressible flows with piecewise constant density

Piotr B. Mucha, Rapha\"el Danchin (LAMA)

arxiv:1203.1131 v1 · 2012-03-06 · 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{DXCZQ6Z3BJAYBYDBI7BG4IB4VS}

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	2026-05-18T01:58:14.453309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc5987b3b0a4180e06147c26e203cac88b97a137649d1787ab876ec6c00b341

Aliases

arxiv: 1203.1131 · arxiv_version: 1203.1131v1 · doi: 10.48550/arxiv.1203.1131 · pith_short_12: DXCZQ6Z3BJAY · pith_short_16: DXCZQ6Z3BJAYBYDB · pith_short_8: DXCZQ6Z3

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/DXCZQ6Z3BJAYBYDBI7BG4IB4VS \
  | 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: 1dc5987b3b0a4180e06147c26e203cac88b97a137649d1787ab876ec6c00b341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f329fe5b6cf4f88d7fe0fcd03742511da96891f9aa5633f5c83323157c288741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-06T08:16:05Z",
    "title_canon_sha256": "820eacd8bef73a17bef9e70470bb553379ab15a0bd7752286aa040c340a0b256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1131",
    "kind": "arxiv",
    "version": 1
  }
}