Pith Number

pith:P4DUM3UR

pith:2013:P4DUM3URAR7X7CRCL7S4BZBKI4

not attested not anchored not stored refs pending

Modification to Darcy model for high pressure and high velocity applications and associated mixed finite element formulations

J. Chang, K. B. Nakshatrala

arxiv:1306.5216 v1 · 2013-06-21 · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4DUM3URAR7X7CRCL7S4BZBKI4}

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	2026-05-18T03:20:19.380692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f07466e91047f7f8a225fe5c0e42a4727966604a3a9af151dd631e5636c71c1

Aliases

arxiv: 1306.5216 · arxiv_version: 1306.5216v1 · doi: 10.48550/arxiv.1306.5216 · pith_short_12: P4DUM3URAR7X · pith_short_16: P4DUM3URAR7X7CRC · pith_short_8: P4DUM3UR

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/P4DUM3URAR7X7CRCL7S4BZBKI4 \
  | 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: 7f07466e91047f7f8a225fe5c0e42a4727966604a3a9af151dd631e5636c71c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b67c5f60d0bff6c9207ca611616de52a9dd90c6762e91b33c2c66529b3bf959d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2013-06-21T19:15:57Z",
    "title_canon_sha256": "58046dbbc38f8c49d9b6fa17d10ad9c50317ba46e2a138e6d3d1083f8c985a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5216",
    "kind": "arxiv",
    "version": 1
  }
}