Pith Number

pith:HLELUN7X

pith:2013:HLELUN7XSND4JJ7CEEMYLNDGAS

not attested not anchored not stored refs pending

The mixed scalar curvature flow and harmonic foliations

Leonid Zelenko, Vladimir Rovenski

arxiv:1303.0548 v3 · 2013-03-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLELUN7XSND4JJ7CEEMYLNDGAS}

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	2026-05-18T02:59:44.684799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac8ba37f79347c4a7e2211985b46604aff790c943abe5e9c9a4ebcd9641f6f5

Aliases

arxiv: 1303.0548 · arxiv_version: 1303.0548v3 · doi: 10.48550/arxiv.1303.0548 · pith_short_12: HLELUN7XSND4 · pith_short_16: HLELUN7XSND4JJ7C · pith_short_8: HLELUN7X

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/HLELUN7XSND4JJ7CEEMYLNDGAS \
  | 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: 3ac8ba37f79347c4a7e2211985b46604aff790c943abe5e9c9a4ebcd9641f6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068ee01e71ed0d5c04d301249f5510c0833545ac82e3a03dbefdc71577238b59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-03T19:01:28Z",
    "title_canon_sha256": "a9a759068fde507d612e018a9fb4c5dd30dfcb93b2fc19a4e04c9c8d4641f39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0548",
    "kind": "arxiv",
    "version": 3
  }
}