Pith Number

pith:6VRBUKKL

pith:2012:6VRBUKKL5PNBHQ6ZXWGSB4EXNR

not attested not anchored not stored refs pending

The mixed scalar curvature flow on a fiber bundle

Leonid Zelenko, Vladimir Rovenski

arxiv:1203.6361 v3 · 2012-03-28 · 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{6VRBUKKL5PNBHQ6ZXWGSB4EXNR}

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	2026-05-18T03:44:47.186203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5621a294bebda13c3d9bd8d20f0976c706e1f0cffb79b2231a80d7d5b9cc74e

Aliases

arxiv: 1203.6361 · arxiv_version: 1203.6361v3 · doi: 10.48550/arxiv.1203.6361 · pith_short_12: 6VRBUKKL5PNB · pith_short_16: 6VRBUKKL5PNBHQ6Z · pith_short_8: 6VRBUKKL

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/6VRBUKKL5PNBHQ6ZXWGSB4EXNR \
  | 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: f5621a294bebda13c3d9bd8d20f0976c706e1f0cffb79b2231a80d7d5b9cc74e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "561bc96cf1373067542f9b0bd4c29af20bf059539001281c472dfbdfc9bec761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-28T20:01:23Z",
    "title_canon_sha256": "bc218bddc92b6a89da2f5c1e6dad977128aed20bcba38357edf4d49dc5a7654b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6361",
    "kind": "arxiv",
    "version": 3
  }
}