Pith Number

pith:S4JSM7N7

pith:2015:S4JSM7N7RXH62SCDJMXYOHKMQC

not attested not anchored not stored refs pending

Global regularity for 2D Muskat equations with finite slope

Francisco Gancedo, Peter Constantin, Roman Shvydkoy, Vlad Vicol

arxiv:1507.01386 v1 · 2015-07-06 · 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{S4JSM7N7RXH62SCDJMXYOHKMQC}

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	2026-05-18T01:37:17.102078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9713267dbf8dcfed48434b2f871d4c808ac1367e2ed5d060e1024f0e19f718b1

Aliases

arxiv: 1507.01386 · arxiv_version: 1507.01386v1 · doi: 10.48550/arxiv.1507.01386 · pith_short_12: S4JSM7N7RXH6 · pith_short_16: S4JSM7N7RXH62SCD · pith_short_8: S4JSM7N7

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/S4JSM7N7RXH62SCDJMXYOHKMQC \
  | 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: 9713267dbf8dcfed48434b2f871d4c808ac1367e2ed5d060e1024f0e19f718b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0b8ded515454821c792fbccd147ce63c35a78d3803d7d68cb35154276ba7bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-06T11:06:38Z",
    "title_canon_sha256": "309a2a1dd3e82a4cc30c6597284d0af0b94e846b933475c5a3b0c894640322b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01386",
    "kind": "arxiv",
    "version": 1
  }
}