Pith Number

pith:GR2JPNIX

pith:2015:GR2JPNIX6I4ML24JJYLGKMDJ47

not attested not anchored not stored refs pending

Global Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Luan Hoang, Thinh Kieu

arxiv:1502.04732 v2 · 2015-02-16 · 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{GR2JPNIX6I4ML24JJYLGKMDJ47}

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	2026-05-18T01:31:19.823567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

347497b517f238c5eb894e16653069e7e520dafe1ebfdc28a16422da1901b867

Aliases

arxiv: 1502.04732 · arxiv_version: 1502.04732v2 · doi: 10.48550/arxiv.1502.04732 · pith_short_12: GR2JPNIX6I4M · pith_short_16: GR2JPNIX6I4ML24J · pith_short_8: GR2JPNIX

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/GR2JPNIX6I4ML24JJYLGKMDJ47 \
  | 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: 347497b517f238c5eb894e16653069e7e520dafe1ebfdc28a16422da1901b867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a211fc157bc5b59aa53096669d575717bdd54aec20d9fda07b2af9d29712f21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-16T21:41:04Z",
    "title_canon_sha256": "22ba165258fe3ad0f9a5c61df56c4b9ee1bf55f4db84a960dafc860ae9bade06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04732",
    "kind": "arxiv",
    "version": 2
  }
}