Pith Number

pith:FZ2JVOYL

pith:2010:FZ2JVOYLKUQAZSCLIXKOC6PVG4

not attested not anchored not stored refs pending

On the global existence for the Muskat problem

Diego Cordoba, Francisco Gancedo, Peter Constantin, Robert M. Strain

arxiv:1007.3744 v1 · 2010-07-21 · 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{FZ2JVOYLKUQAZSCLIXKOC6PVG4}

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	2026-05-18T01:20:22.635560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e749abb0b55200cc84b45d4e179f53709cb519068225bd905dcfe905e690f10

Aliases

arxiv: 1007.3744 · arxiv_version: 1007.3744v1 · doi: 10.48550/arxiv.1007.3744 · pith_short_12: FZ2JVOYLKUQA · pith_short_16: FZ2JVOYLKUQAZSCL · pith_short_8: FZ2JVOYL

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/FZ2JVOYLKUQAZSCLIXKOC6PVG4 \
  | 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: 2e749abb0b55200cc84b45d4e179f53709cb519068225bd905dcfe905e690f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e418591bbdf47e656eb9018f23abf38596605bef494f6d775375092c63eb0e56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-07-21T20:04:50Z",
    "title_canon_sha256": "945ca4bbdbcd7ab013579777ba21ce545e0140087d8eb831c5601ed2fe5b5a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3744",
    "kind": "arxiv",
    "version": 1
  }
}