Pith Number

pith:3G3PMEF5

pith:2013:3G3PMEF5BRLTO4BV66INNLJNWT

not attested not anchored not stored refs pending

On the Muskat problem: global in time results in 2D and 3D

Diego Cordoba, Francisco Gancedo, Luis Rodriguez-Piazza, Peter Constantin, Robert M. Strain

arxiv:1310.0953 v2 · 2013-10-03 · 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{3G3PMEF5BRLTO4BV66INNLJNWT}

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	2026-05-17T23:47:16.378064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b6f610bd0c57377035f790d6ad2db4cbddc869ceed047c1c646026ff6dc668

Aliases

arxiv: 1310.0953 · arxiv_version: 1310.0953v2 · doi: 10.48550/arxiv.1310.0953 · pith_short_12: 3G3PMEF5BRLT · pith_short_16: 3G3PMEF5BRLTO4BV · pith_short_8: 3G3PMEF5

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/3G3PMEF5BRLTO4BV66INNLJNWT \
  | 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: d9b6f610bd0c57377035f790d6ad2db4cbddc869ceed047c1c646026ff6dc668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "889a6c791b2b01787c940832d01d942f28025dd66f9a47316831c2f9b690f999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-03T12:19:37Z",
    "title_canon_sha256": "a77004e85636b24ace2b8acb060f39b76504f32a9a0d23cc85c73ab407f1ee7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0953",
    "kind": "arxiv",
    "version": 2
  }
}