Pith Number

pith:2CO7BZGL

pith:2025:2CO7BZGLB3EQEB3ZJ7N2ARBP7O

not attested not anchored not stored refs pending

On compressible fluid flows of Forchheimer-type in rotating heterogeneous porous media

Emine Celik, Luan Hoang, Thinh Kieu

arxiv:2512.13959 v2 · 2025-12-15 · 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{2CO7BZGLB3EQEB3ZJ7N2ARBP7O}

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	2026-05-27T01:04:53.738953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09df0e4cb0ec90207794fdba0442ffbae2029514fcd45d8dd10b466999be39b

Aliases

arxiv: 2512.13959 · arxiv_version: 2512.13959v2 · doi: 10.48550/arxiv.2512.13959 · pith_short_12: 2CO7BZGLB3EQ · pith_short_16: 2CO7BZGLB3EQEB3Z · pith_short_8: 2CO7BZGL

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/2CO7BZGLB3EQEB3ZJ7N2ARBP7O \
  | 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: d09df0e4cb0ec90207794fdba0442ffbae2029514fcd45d8dd10b466999be39b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3529a99d25fbe0fd06bd61ff31b0345d6f0ee799e9832ac4a21ab119e57f4c91",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-15T23:34:00Z",
    "title_canon_sha256": "15cde316467692303cbec680132b135af149f9ee4becfec7863b2a968a794c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13959",
    "kind": "arxiv",
    "version": 2
  }
}