Pith Number

pith:FGS3NU5F

pith:2016:FGS3NU5FFEB7CJGTOPKNHUXHM6

not attested not anchored not stored refs pending

On the Two-Dimensional Muskat Problem with Monotone Large Initial Data

Fan Deng, Fanghua Lin, Zhen Lei

arxiv:1603.03949 v2 · 2016-03-12 · 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{FGS3NU5FFEB7CJGTOPKNHUXHM6}

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	2026-05-18T01:03:59.305240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a5b6d3a52903f124d373d4d3d2e767810112f3ce487b887c0cbc4863b3e758

Aliases

arxiv: 1603.03949 · arxiv_version: 1603.03949v2 · doi: 10.48550/arxiv.1603.03949 · pith_short_12: FGS3NU5FFEB7 · pith_short_16: FGS3NU5FFEB7CJGT · pith_short_8: FGS3NU5F

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/FGS3NU5FFEB7CJGTOPKNHUXHM6 \
  | 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: 29a5b6d3a52903f124d373d4d3d2e767810112f3ce487b887c0cbc4863b3e758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfd729dab771efe894402538306614a3696f79f05c7372b102706dc7c06c09f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-12T17:52:02Z",
    "title_canon_sha256": "c4c50dc1c74f30fbecd0f47324cff2b88704abb25987d647841e002bdf343e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03949",
    "kind": "arxiv",
    "version": 2
  }
}