Pith Number

pith:6SI22Y7L

pith:2010:6SI22Y7LL36FDVGBS57NH5CXX4

not attested not anchored not stored refs pending

Convex integration for a class of active scalar equations

Roman Shvydkoy

arxiv:1010.4755 v1 · 2010-10-22 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SI22Y7LL36FDVGBS57NH5CXX4}

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	2026-05-18T04:38:57.464940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f491ad63eb5efc51d4c1977ed3f457bf3fff4df47aa654105bee0e6ca2156f84

Aliases

arxiv: 1010.4755 · arxiv_version: 1010.4755v1 · doi: 10.48550/arxiv.1010.4755 · pith_short_12: 6SI22Y7LL36F · pith_short_16: 6SI22Y7LL36FDVGB · pith_short_8: 6SI22Y7L

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/6SI22Y7LL36FDVGBS57NH5CXX4 \
  | 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: f491ad63eb5efc51d4c1977ed3f457bf3fff4df47aa654105bee0e6ca2156f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2204e38997dd24bd69c7cdc7c7fb7232e4c590215a92598dd9ae50a150ef6f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-22T16:53:06Z",
    "title_canon_sha256": "6fd108e920652134c946165ace5305b2d4216dcd97991a099e93427a0c6679d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4755",
    "kind": "arxiv",
    "version": 1
  }
}