Pith Number

pith:VBDSCLHW

pith:2015:VBDSCLHW74R67P4MJ2CZHQNIE2

not attested not anchored not stored refs pending

Porous Medium Flow with both a Fractional Potential Pressure and Fractional Time Derivative

Alexis Vasseur, Luis Caffarelli, Mark Allen

arxiv:1509.06325 v1 · 2015-09-21 · 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{VBDSCLHW74R67P4MJ2CZHQNIE2}

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	2026-05-18T01:32:35.308823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a847212cf6ff23efbf8c4e8593c1a8268db224d820290c7be19cc71722041adf

Aliases

arxiv: 1509.06325 · arxiv_version: 1509.06325v1 · doi: 10.48550/arxiv.1509.06325 · pith_short_12: VBDSCLHW74R6 · pith_short_16: VBDSCLHW74R67P4M · pith_short_8: VBDSCLHW

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/VBDSCLHW74R67P4MJ2CZHQNIE2 \
  | 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: a847212cf6ff23efbf8c4e8593c1a8268db224d820290c7be19cc71722041adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df9a9719c55a83ec2a171244539ca275a4b497d483033fd87c4b9a56784b9e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-21T17:51:33Z",
    "title_canon_sha256": "7491bbf1eebf56d74f9ab87c4b72fd81731ae2367920d095bafd2d855d199608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06325",
    "kind": "arxiv",
    "version": 1
  }
}