Pith Number

pith:5KPXPZVR

pith:2015:5KPXPZVRUSCOV6O3U5RQCN5VFO

not attested not anchored not stored refs pending

Maximum estimates for generalized Forchheimer flows in heterogeneous porous media

Emine Celik, Luan Hoang

arxiv:1510.09000 v1 · 2015-10-30 · 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{5KPXPZVRUSCOV6O3U5RQCN5VFO}

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	2026-05-18T01:28:23.680770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea9f77e6b1a484eaf9dba7630137b52ba5c71eb11f18f5f6cc73f5068573b4cf

Aliases

arxiv: 1510.09000 · arxiv_version: 1510.09000v1 · doi: 10.48550/arxiv.1510.09000 · pith_short_12: 5KPXPZVRUSCO · pith_short_16: 5KPXPZVRUSCOV6O3 · pith_short_8: 5KPXPZVR

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/5KPXPZVRUSCOV6O3U5RQCN5VFO \
  | 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: ea9f77e6b1a484eaf9dba7630137b52ba5c71eb11f18f5f6cc73f5068573b4cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87e36bc51d9209fc2165946ec1c60a313256f59808d9263f13dc1d415d5039fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-30T08:27:10Z",
    "title_canon_sha256": "1a66406488aa26cb0bda86835719059db391bbf0307e2b12cca74f3cf3d34244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09000",
    "kind": "arxiv",
    "version": 1
  }
}